From 5cbdb1c4043f8d808549175ef543cf67ab8ca12a Mon Sep 17 00:00:00 2001
From: =?utf8?q?Rapha=C3=ABl=20Couturier?= <raphael.couturier@univ-fcomte.fr>
Date: Tue, 27 Aug 2019 15:44:14 +0200
Subject: [PATCH 1/1] update

---
 chapter2.tex          |  47 ++++++++++++++++++++++++++++++++++++++++--
 figures/chap2fig6.png | Bin 0 -> 8887 bytes
 figures/chap2fig7.png | Bin 0 -> 27038 bytes
 references.tex        |   3 +++
 4 files changed, 48 insertions(+), 2 deletions(-)
 create mode 100644 figures/chap2fig6.png
 create mode 100644 figures/chap2fig7.png

diff --git a/chapter2.tex b/chapter2.tex
index b50c9dd..3ffdbe5 100644
--- a/chapter2.tex
+++ b/chapter2.tex
@@ -313,8 +313,8 @@ $a\Rightarrow b$, for $n_a\leq n_b$ and  $nb \neq n$, is then defined
 from the index $q(a,\overline{b})$ by:
 
 \definition 
-The implication intensity  that measures the inductive quality of a
-over b is:
+The implication intensity  that measures the inductive quality of $a$
+over $b$ is:
 $$\varphi(a,b)=1-Pr[Q(a,\overline{b})\leq q(a,\overline{b})] =
 \frac{1}{\sqrt{2 \pi}} \int^{\infty}_{ q(a,\overline{b})}
 e^{-\frac{t^2}{2}} dt,~ if~ n_b \neq n$$
@@ -1181,3 +1181,46 @@ $b$ &  &     & & & \\ \hline
 
 \label{chap2fig5}      
 \end{figure}
+
+One of the difficulties related to the graphical representation is that the graph is not planar.
+The algorithm that allows its construction must take it into account and, in particular, must "straighten" the paths of the graph in order to allow an acceptable readability for the expert who will analyze it.
+
+The number of arcs in the graph can be reduced (or increased) if we raise (or lower) the acceptance threshold of the rules, the level of confidence in the selected rules.
+Correlatively, arcs can appear or disappear depending on the variations of the threshold.
+Let us recall that this graph is necessarily without cycle, that it is not a lattice since, for example, the variable $a$ does not imply the variable ($a$ or $\neg a$) whose support is $E$.
+A fortiori, it cannot be a Galois lattice.
+Options of the CHIC software for automatic data processing with SIA, allow to delete variables at will, to move their image in the graph in order to decrease the arcs or to focus on certain variables called vertices of a kind of "cone" whose two "plots" are made up respectively of the variables "parents" and the variables "children" of this vertex variable.
+We refer to the ends of the arcs as "nodes". A node in a given graph has a single variable or a conjunction of variables.
+The transition from a node $S_1$ to a node $S_2$ is also called "transition" which is represented by an arc in the graph.
+The upper slick of the vertex cone the variable $a$, called the nodal variable, is made up of the "fathers" of $a$, either in the "causal" sense the causes of $a$ ; the lower slick, on the other hand, is made up of the "children" of $a$ and therefore, always in the causal sense, the consequences or effects of $a$.
+The expert in the field analysed here must be particularly interested in these configurations, which are rich in information.
+See, for example~\cite{Lahanierc} and the two implicit cones below (i.e. Figures~\ref{chap2fig6} and \ref{chap2fig7}).
+
+\begin{figure}[htbp]
+  \centering
+\includegraphics[scale=0.75]{chap2fig6.png}
+\caption{Implicative cone.}
+
+\label{chap2fig6}      
+\end{figure}
+
+\begin{figure}[htbp]
+  \centering
+\includegraphics[scale=0.75]{chap2fig7.png}
+\caption{Implicative cone centered on a variable.}
+
+\label{chap2fig7}      
+\end{figure}
+
+
+\section{Reduction in the number of variables}
+\subsection{Motivation}
+
+
+As soon as the number of variables becomes excessive, most of the available techniques become impractical.
+In particular, when an implicitive analysis is carried out by calculating association rules~\cite{Agrawal}, the number of rules discovered undergoes a combinatorial explosion with the number of variables, and quickly becomes inextricable for a decision-maker, provided that variable conjunctions are requested.
+In this context, it is necessary to make a preliminary reduction in the number of variables.
+
+Thus, ~\cite{Ritschard} proposed an efficient heuristic to reduce both the number of rows and columns in a table, using an association measure as a quasi-optimal criterion for controlling the heuristic.
+However, to our knowledge, in the various other research studies, the type of situation at the origin of the need to group rows or columns is not taken into account in the reduction criteria, whether the analyst's problem and aim are the search for similarity, dissimilarity, implication, etc., between variables. 
+
diff --git a/figures/chap2fig6.png b/figures/chap2fig6.png
new file mode 100644
index 0000000000000000000000000000000000000000..2454899469d1fcc2ae09f0a9c191787152e2699a
GIT binary patch
literal 8887
zcmdUVWl)?!vo0Fk-Ce^1!ELdH#a#jfCxHzRJh%i|e31l#%i``Df@{#l0wK7&1VV7`
zey7f#TeoiA^Y^}0Q&UqtGu8EU&-BwhZ;Y<C3IQ%HE(!_?ftsq4KC(YYwq0yA6ckjl
z?%H|e0M%1pMG>WDlKucWz;IB|Qb0kePsDq$!9<R6+*D0HQBX*|knJPta1g&F3JR;H
znv#N{ujNS&PN3%N`(c9>4Jvg&@oGgiV7}m}GV{<WMAX*x<yW)VB^($)gnM4DnIfp1
zql|gr>i{VXzzUC6VpqaeP^UCaSNgp7yu8e1Cp4B5aJJm;>5zRk5w#~N?CG&9-rX*_
z$G_JWs-&n6Ulua_$Td|HSQqfmMV46Y{`$n=`Nz)I_V!!Z^;a&<>ATcnMh0)29YHS3
zZSK_=qZ)2xfiWyU^L&ne0%F;1I}hXI@sWMkq30gA;HKZQl3o3LZ6`R?w7{(~GKtxR
zlF>Xa3%d%kQpfV|EK}6!eC@S6IyEdyqRJ4)&aV3@+K18hv0RGbX}=Gzk7GVA+TS})
zZ*0iFOD6_WB&tMOP^qm`Dlbyy$YwGRj;^^owZK(k`*!&6<ov^cT#3bfV4j~J)lNaZ
z<wtdOTxC)cK(rTfqH1O4nJQ}vo^8FOkB?6*3ctm-0W7*nhl|jzg$(az&DIIxI3v6(
zvSb88H<r(!#IY~|Yb{NQTRf^~&2|fGG_ACU&%KQXK`uU)ew%al9TduA+Lk)QB(5;t
zowII@OWX*YXI-wc(JL>QS>WX4{G)*HqF-my%=6FvOISojv2F3;$#0&rs4S(b)}@JR
z-=~M$b}8E4m|_3<Lg3mlqOl`E2uDKOiB;$`8c$sX%-V>KrRH!Sf?LE~b9l7ClN1(R
z;VIznb$WMlqm>d1Hm`iwTOroxZqy2y4l8Jg7q{6*z^~Gozi{c4lwkz9>XW{sef<4Y
zNuFwZEy(RHf_Jtum=HT{r7^3$S0MP3!q#Z8Tp@+p+ANiYh;F6ELi(8VKuuk}-8b1^
z3(RNnEv2Agx!bA)t10OI8i`e)<b}q=Ya*br`nPtLtHC%bo`z2p0VYzDT#OrC*>hWO
zWeO|}8aXlTNhCg7qKe~<4{Gs~u0pzl$)mUVTy`bURB+)*q^7F(UYyzySVY`n18Zw}
ztmybrGBV<B256>VNiPcS+ENFvfFoe-LcjRT+^l;yEb53X)YCSe*atA1pWphPio3l%
zr}7KK{t3dxIY=%p#rpi~jopc?>FMcY;+TMX{1IOq%YvwrPiQc)N_QnC3}tWmP%xWp
zr`(hEz~|Z^pXTz%(0J5JLvo0hx%u*QYMsqSUvY47Am9BloH|7>v*+T=RsV&MHOwAH
z`AIZW)C@(L&Z7J?8i;{}`&?S~cAG4APB9d`HR5+twkt>EcwzfjpnPPK8?k?Ud~8Ve
z&F4&;=r^h;UztSJv|}%=1*O#A4=6xu;W>z!)%8S{_$*u>eZO8GoItOZ%)GI&K~8hN
z;<Kjr7S-`;JVSWcx8=j*Bbsb8LzP>gryl6y=(T_Wdu9~u>EyT1tqFdukt5>YN{F5<
zVU?R<sdoytkUw<UldaKyViUbM9T*^{?7hB0m7JiF*5FK&&Zte<qZ6`NLjLs0D~f{Q
z2Ibeck1v77qn|l6xP?&UIAZzE>!!iv6upb}<XMWZq2?Veo_pG|`B;X%wuQ-cf;acB
zu>c$1To$V>PE{F~84^bkp^v<nf2b3)-j!@{;=P1{{jc)nO<OiNsg7XaOwqy~zBGZX
zwdw2r3A7xyMpQi*I5!{x&A|IaC`4=P*-bd=`xj88s&6N2fA@>FU-3<m(XOqgu8TFV
z61UANjEm)|4P3eBZI!f@`y=)8_s%!^$xYYUmQz65g^7$igk#jUS6sV*W&AQ|R>8=_
z$P0q7Z2DNOi{WZ=rsWiH*Oa9n6b*G?ZH5&mtBXETn(VO{{Z7Cf#pSxU1k85lZRe9n
zbh`c`DLiYXu6Y`J?X;;$<iQ6UA1Bfp^Ph{oUj8*DU_G2Dzpc%rbk@f6BUDP@ykPh^
zyc)KPDW*JIx_x(j68G%y=Ld6L%WwAibg$yY&^gcY1;9PKkBa`{#(Ude@q^r{iGI}y
z*ylvOb%EB#izlmr`&>C&<UMJKBMoCfJdqNk<!2ZgEI67K=t5ElZUp1?&`!_-P@F`Z
znoz2ytESQFz|u~IR01W7xq`(6g23uB=24NQ#(>(&`!w%^<CD`TNvl30-;)R-SnfBE
z;ffp^YEAmXi8Kj?Lal?@QlkIz_<#G;;rt}RpBNj7uJxB{>cEwlPEBUW4q7R))ZcIS
z1)Gl{qeZ;Ey*+O5<EQ#$H8r&q6J}}Y-(zEVYjJ`OQ<>dyMlwT+8sD;Ao}V7cO}CK7
zxV^niF)1|Qf{(ed=TMR4J~n#pO_Ikj3kaMY8f|r~58CmGJd5$W&>l+$l3KBTI{z&g
zktgjqwaJ8*;6~ZuEwf%qz@^UkDzWGBHV|)t2;z6mXvG}ihIebcqOrK%c<Z)Ia^wla
zo}y)r_k%058to6TVezXxt=jfw4(6=JcX5h1<r*Oc;Qg|dfG{77(`BE}0_5^)@Q#m1
z;ACvGW=G{@(WPdxk7^B!p{*i5H4*LDkr|dPZ+q5z!+A&*G&SRoCA~?6L-3)udrYSz
zL$2L=yt$$1ShQM&HedA$!3=W2*`y=`3d{O}a!ygI;G1|i^j0Pe9)A83hcV>_gum|T
z%h%j3(4HRo*tZt~%g*`qDbg>7x$C+9K*4oW;T~rz8s*M!tw#S~$mrn<bzZyP_(+wx
z*K#FlDPG1ijQy~H^k;J){j4rj#kE}jD{j(pyhiWZL)YDZmQn^qQ@ot3!kMo$;7c8t
ziQydlf@uoqc?dK{y9qnv%D)CS%f#Zq)}t}1fsW+GpX>Z_8cFnP_2Z*_D;qPHC^(?I
zICxvzU!|Dx&vSraRee7?=KvbZk^y&a0g<Vz14W;&={v})k{stVDh&Y6!4b9`9&nRf
z6nYz{W;A4}cxhOJ52Mv{P6Y;B>#|3yO3OuNeXXlS$h2|Y9&p8Cj*O2tN#zw#r(Q^=
z$xnWd_f{r=Cl|46yHujnYlv4~Xht3Mg~x#r5K8VqpE~_Ab`c$439eQYWo2c12TqWi
z+Xdryl^C4h^;RsU6F+)rh2o{mvrOPM&0tBDWoKqVgUQnSKmsct%;D^?qzLqgT?MCF
z6NP#f`?D!!QKnB959v0<ksvp9k;HzatX+!;NK0T@z~WEBS5Opzp_=px*lp)thZs5E
zIR7)ITS>W}2;W?X%8jSs{~#gOV_+maF<@4H`%l|RqHFr%BD?mMDY&{IKR^HP(Slvi
z6kv(g%<e(<`;^=f(M@>3=SDb=&%@nOEt31Ft8%Y)P&KG?b948EG<r7R!IQ==8wE|e
zAh%xuZ}vqeBe$T}e?EK5?I+4TsU{n2_`(kqC*z!G1DJZA)0%y<ggv*pPNXymBpTme
zpNq>~3Q5%o9Bfy4BjOPSHi~0=eNa4dQ@dHtAHqKGF|@Ehyyz0xRD}GUPy%}>Rto9W
zND0D?!f>idH6f|iij^2-W*q4V-rfjf9L^^7|3lQo>-Bh-ji~Ly-K7-!2yWuNn$_`C
z+)Av>PxYCpd|kUnfNj=Eo9oB<;jiPU2F)v5jLx24hzP`2PDU|}v(-)>4_*-#k&rxR
zXsJ3SMVnvQu6W$x{9}Q8XJkz2R5<^xrg28c-xI0F<VQpjg7rW8j|p(_rAXNHVZ>(R
zRzJM*^83H27h!;#lboy&C-!FOaAlGgd0Qkz4#(3N2pJU;BSV;!{}p#9*dj16aA3UB
z_i}eakF|ubw*t}t9`p6{d*|RVi??md*A#3aURhLBq|2TF2Sv^3uY@_Te$TM9P5?y_
zn&w~{=xA$CwtP^m95%Dqf1~5;+Xk~r7E;v75Q4J0M_Vyk_)=<u{#;&S+7~AKTS0qB
z%8;1s?(FEXqN!avW$J?=PaleMmLHTWe_C|-53Du_v80Zmzt`_vKRwk>#tFppbj@}P
z82WRv{Q|owN$#zQdAiS0o`|yziIpQw@RG`}bQ0Qfs|%}2?}3YY6jo?SVg9W+*PZ5u
z+&3CoGK>;ha$k*Nz<AA1-MMngN<}un(RYR{=b&r49q43x@F{fR`NLl_a1jmx@&4>g
zfR6giAmHOS><JBLqx~j>tlv!(qRpk$@ZX{kuk(i!MTR`n0saKa7!i2fpGR>Q*C!9?
zr8vLL{pvq7rXp;WxWNj9@@?xigGAlC%U$W8yC(+v`^Xq!z@AXs-O|7(m$)j;O5&^0
z)zw8FQ~0{pk~|~dx^h4l49U@sdZbpbO3uv<KFf{f$u92Z*eLfK%#vc3hoo-5X>}PK
z7|=yRW^nl*$hMK!>y0)kpwXG8sJOTaDLz?hzM^$n?hdh<nE`5~nPmW}qBJbj-{Syy
zc*i1e$Z)H*wqni<yQ7;0HNNsG*y*w2*}<#Btnxi}xGASDwuT4eXV2MaB;1%eHr>8F
zQQ{-7VDI0D*Yh*AkSAMDZjY?)Y~xLzkqLq<)pFmOjJkJYU+KhMbUjXJhpr6W$rWt`
z>e{F%LEI6Op^_<!WEtMnuh19`AZXn;H@>k&m%J`w>qJkrpQ4o?Qstli)u>ZI7L#n>
z)a_7*0q$Y9g59q~N(P=5o5CyKQ1KcSn22pYm(kXf8Z$<Or>L?s%*aI$@#tY@MS$HL
z0QHw2;*Wm?9Lnc7CwX4|kuo2yRV3Wjt-)=<h2{Sw4ZwZZHa2C#kt{Rf^kRZLxsONU
zot=s@<LHC>oY`H`u9AyO%?J*R;1`ZGRS%kakuHw7N`5?IdOG`OgHF5iT2~J1^hlO9
zac3aS_&9kvT5M1ZDXB#DPW|h<J}Uk0r^T(Iv}H`m4jyG)O~~6tL2V}*beeLq2fL6h
zk?ayBdJ1^KF;t0MK@CnqUp0FE(c8PFNH|IVB%aq54QtB3xDKJ(?5L}A_hj%;w?nv0
zgHK9W1SHU53InA`5bi+1hYL|@mIWs4n^6F1>tRI`)fmw(sOwa(q&j`91rh)(BqtoS
zCGM6{wOAgQM)#NSKA`{|bBKhQ#YxW(Ca0z%W3tj|zFcG?*QZFAzPduhL;Mpf*ZTpR
zxOBUsO6%10zx8j49FC(HpkVEs%_d4eZ_V*K<@lV7{xVci?rHpM3R=@nvtybJWFDgT
zHk5wk0PB&vzQ;Lzg+9}ufa927M971E&k1iVSY{i+@-nB66H$bM%l%4)wkQZUPru;R
z95Jomsig07P%I$%%NMrqj90>Krn|W2y$l-s+xj)H3`uFr_0U&+!)-ON@!ur$O}`S1
zBqh6<N8z4kuMi{jVZPkebN)&|C#L(hkC{3Jo04d-!uwE1tO7UaS+=w}k*K)D#LT!1
zJ9ZT0r#`BWKe)d`p5$HMa#!~F@g?_qQ&(_~K3ko*mY(Tp--;|EiWHr(2OV&hM&RBP
z3}BC#rR`WmZlK*x=(3Br3I0VqEHXFy<&D+|pS?i3@Jk40SrYzC&7mhVp{G(JV|K09
zD~1-nP>y<H4K<#`{w)$>g&5)Wky^{}7w6?a&ilL;^$AC5a_AMptx)RmEFc&vxG=*q
z6xf(0AR>f_APQib^p_(gLkx44MlhUoueVo`tqq+<iX7k7@0-WYXoj$ZAT=(?p|`64
z{5;-P7$QbdM8EeFKY_}BPg~pRVIz%{2nPoT7kAUuXJE4g(S&Q*+a_=|C_;?Z&Lzo`
zKy}wRrMh3+wW+`S@#f~{JWasn)oFfhuV}Dgn4CZl-tw1h;$b{k)te~ZL*0>^8?+ql
zR_k802P%bkT$Gvv>mPkrsu3UXB#vkUqB$c@S2}!bY$&Cqq@}rDzC2p(3|OX(G)1;w
zlE0|8LBa4EM1Oy{<$8pK<$eN#v_5-SE-*lU+Zj1rU$>4`5_I|sUU=Oay9Grq6@SWN
zY(1$q1_lJKvcFyUsXn#fa$(=uRu*LO;%`=a@i>E{zU%%Rp&7|H1&SxfrEIRuD@V)D
zC5PwJl(gW#jXJW+UJc_~4w{hLbH!&*&U`(mTGuW}gE-$d)WK=>g(|S+{D>vo{)HPG
z74W|%#YNx%^3bu`M1z$7%<9PL{g+}>ZV>KF*RI=0R)_uzMYhMgzxUk@*3*xFc6fM{
zx2q_Yl*kmbP=~j^PWDQ0(NZp52PilHKZ5@MCE)&#S3&gm$2GP0J$CYq0le<PB0OIH
zQd}a>TfC4zIm_)J-Z;y^*Y^-#rV~YPu*iiy8ajH&?M~Vn!KaOWxW_wn^@~4$W)7;V
zO)8A&1)7SKO@ePWuwt_bhVcLgHGE1#1pu?23&o=a4+~&FGTi3AnQ|aH{Mqg>#TdZv
zfbZ_(x>A!feYNu01!W!yzSL1I4KOWdFyBG6b!YX2^Oo>_YVJb@iUAituisBlIzngz
z%0Jm{(P3K2ART6TUvyUW{Bt?A4?tJd(d_Cop7YrOh{T<&d`w;#{%)p3i!OGcSBH7m
z3+WWy&n;cJ&|Kv>O3C-HmyqbsmT1LAN2@juA@duZjGUqc8YCA=MEf66t^W;m#VQ1s
zb~be>Mri2dH(MA$#`hd$?Y>N}aOfp6zqYGynVU02=4ziPK*NKBFnUSSmGRmuJL#Kg
zPA;y1fPk}=j<ne0{+18FpPFc@A}Sg~d&9A6&6;CLccK##To!5=I2u&d)M&(<(@RUa
zf=6%Qi`d3tMmA6rz$2Op^IJ$r$g|oP&Xsn%K-9PsWZ(_C{j=k_I}SHz!NtY>iLCC}
z^hF@+4+hB-)<z~Q#&M|z$>h57_gY_>C@FsyBTI@!x`u{L?ps4=$DS9GNcmQ6zPUvN
zKClr(J;nat>B{INTV6(nq~D+I{Cwt73e3vE(Tmr*{Ino~*{$nGsrNJ6Ke|x$NcjyY
z<y#`t1gyULPk&~w^LU_0DT^}!$+e|XTpL6kQpjHGj81;{3_i(YiAnol7W2j(v}FY>
zPdisbdpT^S5Cg#%#TfZ5GSaz}Rk-zsr<LRvEv=(bx~F~czbUI)%dJjhi_Wgo)#6Gk
z`sYssBeUux?8opgt%QDiThIKzXal$3#%6bSy{oT<Grb*j&Ux&;bP;&i8{WP*SFrIu
zzA;W+IrPSp_{vv%(L(o)S-{Wo{)LY5srPz`P=fIQLUj@f$ayj<@0BKaI%;iH0=#iY
z1C<UlnQTjc_;xmzmv(#~CD1?+a0VAPm?cYa$pjXeo+NVSs(vG-qmz36-SSatTuY#_
zr47SbylIoWF>11-?y%!JHP8PPn8+ea_C3hHM#AnA>lh=_nEsyDEUjT9$|cug=rloV
zso8p9#0p)9=?~Mx8sUkQe}bvMU}7#ifgjW7yu7?ek>y4Qojlnf?qo%p>f=vf0$|9~
z1C6l#_TJ06E#dsSI=8W}fc_|=QgfW9TNaB>e+r;O;?ZtnLqpfyVI>|Fzb-!%$(xO<
z&Gc-s{@X4|@MH#Q?|3?K!sbGAmfgvm4&Mt~b#k<*`RX^VB?E-kI}IwQV`&1zaw;KD
zw_H0dBqSuS{I4L(3yU69I;yJCNMGcL4V$;!NhwR909~4Q2LqXz^Go^6nls0BF!YK?
zx1SyZ_)Y41g0WVovL$B=Rfq<OsQ=@&#@g-Xv9Yn|opkk&KfO~N%!Wipm6NiZW-mB^
zn3$MI*F9Knzx-Bwq?iE30G$u5!<=>+Ja*Kpa9^hQ^jPvJ(JX;IJo0^9GuO6<naUBt
z*>WMlE8jkL`u{y-4U6H>wMF}{^I_OLvkdLf%2x}3grLXolIf<lASmUsc?6*z4qyV%
z5sh%9GY~>7<0}tM;1Cu4h^%&~=Pag;I;TJ4es7?o_g1;*Uo;{d?IdtDIDIH{M3P;F
zGLz)XtAMlKVhzK66XcQonx3v26FVTU2`HOqx-+QZAG47>eN%^8x*<Z*j^Rj`$;FH7
zIJfQ$duEgdLlanmKp--i#F7T{e#Y_x!W}ruQgA-&l>Qz;Gx=ovge|L%N%h@w>Q&@!
zyBlhz*pBn#q_p8CcU@tXN39)ZmHcaE1@fJWq!;h=`buvCrqIN#QZ+VJL2ObC_%w<P
zPRBM>V?dY#TdV7u@nL!<^(Hgn+J);m-OlwMtGP1<>^yBU>eg_(Kw=T$9~iXp%R%xD
z5w$#r<LBh$dix1l^<z!h?ZW!+J#ik=U(k3`;X+SC1a+aY=Csw+w32Qp6~;R<7TvPh
zGHTF@<dl@6b)z}7xyYrz`HURiyAC%r)iT5{^q;WvSwNQq1M;2z+0`$NBM`d0hM`F6
zP2oaxPuK;D`V}Bzj6cX`!~VqT<2LmPpEpPZkq!4N(b|%+=#p8W(1R7KBt}A^NLNK;
zslzoi#d*o}iGir^AG8ayBa7f7+O~l1EJNlHGGv@?Ekk)vkMj~FWQ>f#+ao0EDZ9Mp
zk7!-{xE3cq`hv6tP6_~W{Eh>|t9|%;(B;+f55I5rTB@q~r1znngnkRPIN^j@SeJ+o
zy~LWzu?<Amse4bkscSgek{yj<5}`=i%=WWl@Ygpp(YoKVDQw6OX*_A^EDtF6C$wdE
z@2Jz1mnz&5wiEODOKQ47^wnzF{Ro+u7{qr;hod1_`2b^;MThal7rxqFr&y+6++nO;
z9p7<N^4NO)+&MvPn3#gL7$2*mh_C{dc|-Olb6|Ah`UM!_Hi9j$duuK~w5^ax+2-^s
z{E%ihN9Pi5VtnfB9A-3l!sU9W)8GuPPKEzrI*(#i5sQVl;fN@_yboofcs06N6$vI}
ziaeZ`e6vtJW^q!)te*3>9qqN5LZu7hgp*s4M1>inAeAm0c>iWHkqqggVw9^vX^kJ}
zD`Nl3lS}^iOmypMt^J`4wk5{<c}&qH+Bg_}H5zKdYirVTKmdEVB=W(;UaQX)QOkIl
z?JW0$l;}dIhs@4~Z>Qk~Gq|_)FHd0Ri}!{D!~+!g)q7D)BR^aI$@lg56WQery*LB~
zy-9E`Qap@0XX&DAdHpp)gNC+)KHyqDl{dR|%^xp-(2zgz!|#?KvOi{s?%-5ssI9h@
zhHeY1D75QiX?^;<w$Vey$bH9YT#BMwz@Ap^icozV0s<Hemij7=GsNdhJn+b<?T+>P
z4Yf=QMT<TOh_&WDWc&KV{%VdtbECZ;-0<P?v3OF#pHzGE%pB(>57mTbdW^sW;jz%*
zNn!XHt=UxiE8QA;2Pc}=qV+c28TuC)Nw@4Wzv%p_6j>-t(eorRBJ)#!%V%}0r)N!B
z;4FxH*|0eOLYo2(`+ZX*OA^VVI?Y|EwbF^fmg(90==+EpeYo>h9{hSg)|e3+{Vbfd
zF<6KZ6?7C6olo{^b1!=Cz)K~8o<!1NM#|(h3GWlplS(`D@Vd!|GT@6L-AUbOl@SE?
zb(FMMe!|~Ccb~XenI9fF{O#fQROiZsCK-e_M8|%#xkJ5H*b(I6;itIX7K{MU<-V7o
zub|8=yTg&+WtlEYC6}pJ{v~?1x~`h_3}qmp+(!kivV*=xY>8}@X@tzv)A^i1cB$M0
zaYSjNjMskBx!PCmXvI?g@OLR$Nkq4coxxPAo%ji+e%sR<)1o3%tDU-~gbqhv0qs}E
zrh)<P-92iQPn(af>vW@I9(XRzkw0%D+y!f}=^F*-*aiz-Alpl#`!i6fpAS>wFLnpq
zZII;}B-0@yCFQsLPEAbQlg0!syfLT8wq0nKNpU5dc<jv!!4CMLmH)$dafv*0({s1a
zyek`yHjXe~3qRALd%8MONn~AIyE&@u4hs)2EGY0kEy}uPWtlmrxN|y5>~{~c5iPq0
z1~L(DJb>^itRr_vCZO6m_{XLmM?EjXGa|L~WP$Hzir$SeUVpv~7Jib!)H&cX$B*b4
z-f#~RU0t`ph92uiW(tDjw*TyuC9{>zm2c@aI}*D7n3DT<&0UOi)BilV4fGene6pm>
z|8;1KpSk2R=9=r3sjxu?C|qh9-A?<qza*H7?vX^%WcDvCEV!LjVh;`uwi!HcCCYI-
zl%WZWT%E0jEYw(}aO3*>?~Z3QI!u*h+k~XU;jU|49X@Fm<gEXOei?AFva#trFbp#c
z%ogX!d7dgNE|-^;&F=9#q-kmtbp&m^-Hw@!X^l7w0+=37TON@MY1%~cJMAxDZoM(A
zKsfiP1+#R_tpIqxi9UG0Ta0wqI`UOoRkIMyulY?EB=#isv=UiOW!2WSch3kaiNfYn
zAH=T~8b`b%$nkWU8x}})m6eDTKd9FIcjyA^`X|>AY(BeShP66Ad(ifUEhZ#BsJp-R
zK>2l`bl0kH4{d0iYzEvYl4i*~Z7bN!aKPp?-e>zD-uBb?qtZg{!EEWEyYbYSfC^lf
zp&Y5O#9<36%alYKvv=w62^urW^#3fSHLfyw<+}R)yUdP*fwq>`-|OqudONHg{QG|V
z2@(bdp#Rl=bTsx+Tn7cE#}}~Ko1ojJW+w#&1-qem1swwt5JftCjF^!zA;3waib*O(
zt}^KPpp<GVU7>i_ZA3j6KZ3>#H#ylW16-`0l&cNJ2lV0tFzq1|{r{hLnVYr}9ufE!
z^{mTns8S5#9sD2-K~UW8Btw~QD1P;`X+s3#I|#ZxWZIeuJ%BdSrA8kU4gEkbQp`G%
zQY%=N&*U62u`}8mO>#vH5*7r}H6qIc?<sFOt>il4wMJDE6H|$df+|vUqEcw~kc5Ya
z2V{xl=I(9?SsF}6S*YztzBRnz<l%Y0H3TE$(tbNuRfZ!hg0;lY%^gjutfr|+FXaXC
z@)Fs>mquE0x+~}&`GbLa%23S_vrs(pm<oz`>AC!&PdrS`^0D+36cZD(zf8=r^1BV^
zak>^b{$~tpjT~e@IlA+{9hRQNx4a5kL2|$DU-?6g0{<*&^&0X!{nFv{5y%sVK>Q-<
zHVir(B=k)D!&8LeQ?~!pZ6s4v_GHa@(S0(K0F|ZmZ{>WRrP#aUig3v=hu8nTuxJb(
zhifjF?JzTyeBgH9_MGy{ZWxwTcQy5;cr2)Y1rOdE0$tfKZlnsMG1E$iOPVk(y+i7L
zetxcsWEe_%$mHwp-x(7rsiI{6q#($1dwV+`Nx6~F3Mnr!PXA&NF$SKmD~!@yN73A|
zARpK+E-u(q60Qux5C}v{3VB5)oN^q2pB6@wxuGuz5;n)RheT@h;!n8oq{C_WF@;6?
mi>)K=+sOYXlZa8CiFS3kzuWW%p(1}aK~YoIR;p374*Or{BjX_e

literal 0
HcmV?d00001

diff --git a/figures/chap2fig7.png b/figures/chap2fig7.png
new file mode 100644
index 0000000000000000000000000000000000000000..b674467326909d865bc066c2aa055cc8c8f71289
GIT binary patch
literal 27038
zcmXt<18}6z)5l}uVmrCmwl219+qP}ny7(>|+qN#og%@n><lW!D>fNf{+Gn@+shysl
z>F&?BCq`LO3K;<(0SpWbSw{MYDi|2}9O(Tj90cf{((eXj&;_`gs+1U5!z|$$=mN@0
zR6!IBtT_qs-2@tR4eu<i;|2zX?*88se8-Z+8w|{bUFL_Vy0_tF0kpol4o?4WX6L`a
zhR)FqB0Jbv1LIPf*ysW{m}pgOy3iQ7b;fO?MWRr5880udt?S;L+Bg<=`9Y-auRHES
zx7|FPEcTOa0USsHXiXKBkROlDwkvd$9%6=u#4_qU?x){UX+n^R_}pI)Ebg$G!(!k4
zu0;<|W^>xpyHQI`JW&Hb*{p{*!^yF>;lwiv%24pqylR|YUXsw%z6gahX9mVt0G2RZ
zvai1|eQ^F(cNeVAg0CFuVC!0Geeyb=7us3C8)08{l^L5tKK-nzF+k6O6PZ~y$eqmO
zTIh^=p=|i#HwL=G3*N4g@qhpHT%{yNpl++@0n!<|Z0pmQ6$u59Us_O~%od2NQp?NB
z?^#Jo!suMaXJ%rj(hOu@^6~JHo=NHJ>n9Jx>FDT4zox|Dq|D<PzSWd`=}4-nVaOPm
zn1$sz`Mtj<&r>07U17BYC@3kRWVYdkI{d&K)uj~`CDEy>{|Jh+*dT>En;{q&P_n?v
zwGtq3qx16en(y;JK0cb4G&Ef0iF_7Otv{;8C5;*Q`uOm^$H&BwRqQXXQG_ryU3#X8
zx|*7jciTwY*wDV`3mHIMnvvLd8H^XQYOA=|NO+iuD@b_AiOcvPZwv^n`*dxC@jE?r
zwe=x$&-S-&a<UHz^S8tC^Yc?S#|YUYZHqi@H)LdBrD_*99y=;4e@o?oA8NCU|7q)f
zgW#A>Lr*V`9_H@S)hx_rkNX+(2-y60bR>a2pQva=8TOd+*z5O{nEy=FlJvdB5hqi9
zaw_)j?siW&9V(7NgGxFyM_mm$S4Fh;*J~8ImWz&rjf)Eb7;x81cj2qJysotTx$iDL
zeIJ^__w>Ls<wq&nhY~m$85yOD>Dl6pbm?#^mR`yaSOeTJGOBqYS-%C8(LOlQH|s&5
zQoU7)bC-iddyj>sWvWJOd1WPe4UvL^g0v}~wyESIx97z=xbV%UL(RLYb)fs+^?K9x
zc_GZLT9sl%%u=Poo5kMpWO)|JVsQ6lVoF(360V!?X7Lv>GaB~960m4$_-u3VeTD0@
zi-m_RtGkwKz>}EkC!ph|rl9ZZu;4CnV^>{>{j2?wKI+T%G$kdH5sZ*9>c)Xr814;#
z$q|3beL1=5WzAj3uusw<r$v(UId=Ny+c?21O6FCf6<Rck#H&5)c6Y4sEc3?`bs&LA
zxdl(N*uTp>eSa06o12>wFtoOYBXcj>EFmV31kX|I(PeJF|40D<0HjSZ?r{#fdJXtW
zsuHGGSFvTL2U|BSq8oDOYX;9R@$vA;V)zCI20(_$bmYc$G+0=K*rs=Or?jgZgfUx(
zZFB1Oxq}I8Z9TAPWH##UpQ9IU`SlB7(;jDP@Zj*!&CN|_M)8J<ii#soDJQ%@7?9+v
zo8c|m+Fn=pvpIk_E1>DlvkRPSx1pkfN(Xp<Pl<RDLDA8L<d`3FIQos4IFZtGo~U)R
zgFe{ibyO)~+k(y4<k&NbP!z)90yH>wSALe?O=GxxEz<tf$d2|EahnpCqPx-x7R5U7
zp+~0XAxImr{cDXzDysbRLb)K%tKj4;27uFEI(vCB)6-8<h$_-DoUPBP>FR@hkwGus
z4*AH&A?ykN($`E@!tM+=G+Tc(`;FdhK$&7K`K2~0P^gKKt%l!&Y@W>Ihy#EHKwcWx
z>%gB0hdwTZ3kq{W#O^^BBuitsieu*3ELD=lR4J>eiK}{vnltftJe>6@!oXc&|NQxr
zYo4--b_`!Ttxp7|7k^%e&VI8sfuWeWB`kl3>h#pJm?%ED_YX>o*$|91lXNNkD}Ibz
z7Eq}rjIZ3xCHtl$Z(ouG32V|Oo~=BR;!uI{Z>AkzOq@7`Thpu9VHg3?{EIJD+xtAc
zxI#|B8*jA>Dv9D0@w$%gGeU1=FlM=ONoOa%jC%3!L+PyE6t|g~8P2AAISe78e)|)5
z9OovQ?+Dy<;gO{-0hl({#mX4gN?Co78&>lR;Gdt;$25e~TaVo^jd`>yoV}<i7b2h?
zBo&uZxJc}yrWviNala6}lh$qX4%<;!Y+?SL2024f&dd!GOzJFT+Cd4qx&t1_WXMJ&
zP}ADVl`3s+WkqpDaLKPIQNve4To%RN28q)jk+oOR)z$UIU1e=+D~m1U|15$%{`VwE
zMiHhwhI|Xr%fgX4Ope`a0q%V?oC;G!0Rod!T|;15Gh{>HPgD{|DMF!ekSJg5=Kkn3
z*5zaX9UUEcOc&@v&<7p<+bvD&tiRLKv1R+liICqT637yn5Bd;V<_*zs=o{kA_>#?b
zD7QUkMYX3B(-o|(jETN}=}cSI^IKb6aCT<;kXl{Pw*C<W3i<{HDa&Q<cE<>8yk6-L
zvd(2;!NFjZ4^RR&9r3FA`tjvg5n(xc>QIS9;%o)OX~$=a6F$y?oZ1PPuT20zLUgnU
z!pRxRl!Y()`cot{am2(lRT4ZtPYOw3gAN-+V8d}(5mp;k>$O^Y;pI<cd}jjppWqH7
z!Yy%WQE5oIv3gsRFJb#9u|7c|ncW1cc8NwRzU?OSO)n=_jD56E@IMZtyeOAnJsc%&
zSG{D+ESV$eUham6sP8Hr7_DhK{zak6;D0Z!DL`738Ed1SJX7!tTy~k-nn1j9QXmVE
z6<#oGQD$H?ydHe-laT!CIled?Nv%T(|5EhQX1WZ7#c#4$v_@T|HnbLmPU#>FAJ<0-
z4RE@v3Q0@DNR?J5*q2S=v|A-T+f>KoBbzHSr)Z%DTMA1>H{i^=cHVN`RD#aub|Owa
z4JN#Ziw_9_PwgyVx0)q|4@SgcB8~ap=D1Cc=zXj!jq+Fz-uJ~R#KamD{g--PeLBg+
zu+^$o4sxUtwYyl{WIXvA)?;3qU1P#-tMCa02PZ6-V*+}ei?c74WoZ8^PXqI(aKQNn
z_kzdIMn{<EueBJt*{zOug2}`9Ec<mGVk=4;U3(W71zVG2J>C$kpbu8l{RrUlG|t*1
zl0Jj|2CZ8V2^(H;Bp(=)-+s@1S#!~EwV}^#Cw85`lQRS-0mP0*tiU-RYI_C_MJm1V
z&#;g4O4?S>4$3pA==<t+RCwc!;-kZ+Gg3T~W2Wwa&CVFak22M@f}rvWe`kEI;q8^?
z%98cFA;S`xvO7B(b0(56p|Lm!W!!j1Xa^TrJ#0ien{A$so7dZ~giY_0VTvUZwyd&y
zqA5Ya6Y5_;qhn1CjT9<;cU+qRWsHZ%%gq$1{;4cxP_QGv)b&9`*hr|h3V&>bwXi_=
zo!do8OA9Xpme1#bAj2V}B*lrl<+?B~b$$Uxw99A>i<QZ!Cy7l-$rm{+D=kfWecpe6
zwv_TiOjHy+poGZUi2wQdIr#_tJpi;v5pdb>bmPfzh#FC(<Rb-%?0vjFS(9MRFHqt-
zBjP)k5!{;VzLuQ8F5_*WkyneJ+-F|n;)OICaFD7+niS<BrG9|*u;OigRd$wFSHsEN
zFB}0SVwDN0M#!>*N@Ru-Py_@7l9#dKC1(QOS`V|?H~cMz-><erA?Tabb;lunjKClt
zLYdB3ENk8tRxFe#W!V@kuDr_kR<X8U{OnN+sF2S~;&P${bL1+g$lfpG8kXnR)}+w+
zm9?~_(6Lliv;B1zAo<y|rd8Tis($@Kmtg?DzqnDVL=i;(Z4!2yc!vCv72zbYL9MlN
z`Q&skMsqm}TG-%4tYXWO7aHe=N<U$qKP8!(kyz-X5$k#uE$b%4g5LSS!K~xovp)_z
z!QJ8;7=;rzuZA9}>Wu}rI;)(f5;vn%g{{tzv4J8vV@V@UEt;D(p^=}j2mQx8DEZf{
z2;+v{O|^TG<J3QhZJq)Fub48sr-X0GrU7k3B$h|A?-?Uh_u9v)9SChs?s#NP;&KwO
z^p=M$s-6o&IdY?r-joNd;x24#Y`r*?e8byzyT9(Xjqz;AuN>RS-6k-@4hZ&OFdeu0
zg~=|fDkLN&QzLMg4b#)piFv>_JkXqJ_0v0&x#lflFA}c=a|;R-5@FXvT3R^V-0l|2
z2HHjg8zQ^daM*%A{V7#Wy0F}M^|LzO-`^EDCBCEWGb(r>J2)UKJhS*~>o{6FCITO-
z8*IQB1u-KMT-sUP{vntdW=rMDC_eivHU~mx!3qlVJ9SMW(Wbq8u$;{tLRTfo8Gq@z
z6Nda_%SvkeH&4-MsA9+(vbone9Wn2iOV)@wg5hj-EJiaTEyaQfUTwACIqhIH;;;+5
z)4KqhIgvcP?W}d|nJqh^JSTuND3L?Yln7<Z5W1P<{1T7J^w4oH&IpCZJ%5)oC7sWu
z4ArK{!sq^T^K^e&Fpv<Qs2Kb8oO7%C8x~dsWkU%yd)8%hFRsCS<dSpQT!kQl3W?)#
z$+p|p3}|*dZ44tKBBV{RBOx4J6R&2sep{vV+nnO@jo5T@x&`ICNZ|QKZki7ypwKXJ
ztQNSd9shC~5dML=)lPinTe4uZ8vxGT36F&IL-lF!X1c<vrq?m}QoQOkBrHd6%-3Cb
z-bWv9)1-%R@Y}SNqrN_2?*$^(^fdnayE8b^Hp*fk0w|ZJh=JnkBmxC*Ymyk2c9jyh
z@2jh;gZJ6l+1yS$$w?(J1O$gU(_7$>Fr+b}r}~+t?D2^_M!o*LsbI<~Dx&BC(ajTC
ztT`RX$jBO0&^|ssBNj&^M=O7oTCSz&YVnV!bHXsuGe(|q<R&NO=<FtntYI0{mo-|A
zT&n|M>J5830nM4}+}5=8w3AcJbu^>GGW`6is+upS3l!za-_2S%)c2Q!Hgl(BWA6}R
zCu47vZVl0AfYZD5#2}aZfo{iA)WKL0Q^lOEuk+s3ZdkEc3jT&%8}&rM<ryQ==Ob&E
zSb)nRF(Bjkr&RQCbXwywxg$Xb94Gy<!tyh4w)y5hes_+a6Zs?HeLaHUbLW|(oCEEz
z53zRN-{VQ){S+cLoWR5j;aP1ZR$&o>H#eJxIkStPsk*;eimzu`31(5zb$T?McBIw!
zuXU|gr{$mj{os?+I5F{c0yB?(-Fn}gp2~i!@FdDA{>yAWwPXmVz$*z-<m8YuIeIMj
z>SbDDF{ymh03G{`=dE4*Sd~&=N%hBjpQw*HpA{3<uZVCyl;O+#4)tiPjaIanU67X%
z3E-mE4MUlY#*3ndvG7Sa98G3O+j2k0EBdaVh{eap13d;hAwUz{Qbs?&a9Lef_v5Xz
z^bXAZ^k|{C!PploVisgHC<8HbCUB)t0!Iafnb8CS4;{0Q*N2ujc#{g7u|%R%Yp#-t
z3Xj)&8+UM7N-C;>EDXL}qOHE5zA5Yb(9qCRYek60&<3dp$MyuK>;1#Aq}$uuQ)|l-
zZ!G)qWHM=U*vmCldsL}4jq+9c3FQ{@$l}$Bg%6X&2E$8j&S3XD-MmW*20+v-kBR%O
zAPojyOQ)5cTFJBgMeqg%psPy1uwYEmaoOM9Z}eEJsj|~!HrNjzf70}~VzpmdAEcd?
zo`xWTfYV3!c^}<3yp70B{WO4?!1tr@HeM{AaTEI4Ji(2`8J=ZLBNy+ReuFiRM5dR+
zgWBXDYp7rK@2mP|#*d7lHf}3HuKd;nj^a9txn$WbmB%A?R{B?$FAk632?VKj=7b4M
zm*?D1^WwZz8?2=E!m3U2Ovr1R67Ov)gSolfsPsZ_L_-2>c|R9>suD>`N=g8F&ZtZO
zHUJux+P?0BSbw|r@eMZOXQ-f^f65U>BXhEF_cs}l%ZA(y1qdhYmY1}9-6QxchI}ok
z5<1|FYd`Ti3^B&K5Jj5&%+2MebQ0L&@QvwK37bnp#P?#o2*RHv&vb8$llkMkscYNd
z^r|5Yc6~nu=lw7xki(!?5jg1OHWhcQNW8y)?d0dS^pijFUy~8L?Z&xl!YjNWL(<BN
zS<Y4oys$w}&}(Y%T|WG?wKK?e8`?L(U#{Js3lgf06i61ITW=i8nwI^ywGJ~6Ug1(x
zId25Cb$=+GJRHFvnb^?ZKoQNQeZnb-1n$-imlL?V2$$9uX-~p!(GzptptazkC-wRF
z;-hqzCMFncvV>*=G&@?Z&fv#s+7L%@7!f9$Eun?c3c`2$OHvX0dg?tr+XsljBN0Io
z#JDiemI~QS_oAZnq&=6z(;<;Cu@qY4Ok<z%GtBxdrt$SXWq-;b?;89D@7!(LRYupw
zu6-5|f}S*ND4KQ;ru1(6P7~j=cGso?7TV7;Dqh5!_E&)36KAmIe<d3NG0VwX9%`O0
zgae;k+gWYHH2cFC#pe7iKR=_gwgD=6MgNG3ytQ>LrzI1R2wo=in2|<DSHbo?f=-Av
z5R;fOO>G0Y_1CzW(|(CJe_|}&^*s)K|1s*17mPex4=KYn8HO$Q+SQFKBs%^0nJA80
z*W=Iv8^3#ceo5lwZoea1@wwhTzjiQ~`>4iR*F^rD#hZ6*+E>0B5-}uswzGM2?TB0j
zOa01-J;yNiCSe0wnxePq3t#5gYvL~*<I|Vt&()8=+)0oKvJCZMbxoxd44ke{-Ic6I
z6;9?wKdArIATsw|-1=Vk>5g8HHuPi`VEP)b?j@fqMozi^LzJkL&j~FjDY2Zl57FJr
z?{GUIkJ(lx0Bn3nKx+d;RQc6G3E(oLw2TUh<M2-D;7s0Ey%gMluAW|-!)9i3Ff-36
z0(=7eTlk|2B5-|ci-D3dJ#}#;6(DbHW22)Q>bEq@!Nqm80f_6lfi(8)3HmA=eI0mx
zeMO33GQ;=Al9?bWt!<SO7cV1lgft8_CCii7)I6F<lbx2}wMXrq9Ew6sxkcvUjsk>m
z!IQcmzVEI4i4F@JI+-g<8N|ykC`cLh>AcfT4h@BfTz#^HAR%%76aWrSspUufzHFcE
z_hDa`cZnB_8y+5BZe}IjOLCuEWGfIac8&%SGZ0-mK8RTy%HwVVL#Xb4<dJyt5Lpi0
z_%Ie0KRiAi*xDkLv4{SwNEycKG*PE#m~%d*z1li^NeL2Mb$bN&r-8L6h=ZP5#m2^#
zHo?dzK*2*t52Z9L24HmuAZ9YdGBMFa5S+3OIm}@<9bp+OZ9%cKvvVbKofg_+ckQ{q
zWYq2<3^^o`v220S)Cu%|Yf>L;=reV7WlLQLr{2&ob`hqghNWdNwuCV^2TS^)y(cu}
zpu}!%2)U{aag0+O8MF|O)X8sE-9JC5!(n_KZmy)Hgl)AqIugQZC&J#_f_6Qy61fSk
zP~3rW@dJTE1a{igBKm=b3aS2cl-KhL%3W&y$kuzpc@qOcEF#32rx^bwha5x=<&_{3
zEu7(t9)Czm{=zjK8X5|Vk$9P!8u)k<Q9yQH^8LIB(L!z$d?+>qr`duMc86b#?2zV>
zm)bGwOoa`yse3o}W$hVo<~N4DD5Y&AQUsUu13%S~i}1+J&8@4iPg%rTSO`u+ZPHIY
zVf8K9Z#_Zcp@1|`79#@92;ZhAA|fK*xz@iX5!bAFwG1Sb(JqY+em<hHv!lq(Lbz`O
zu+P@_!fmasix@XlWMm<abPBuh$Q3NU?d%Q?4lP}czki4H3K=`=nle|R;yL=cip;t=
z>!Y5MeMrT|#o3HyRaKe96?!5`NlDq(Bh%3te+5!vxK}3OJNoI0Oz{J+FnOTqeQ3@I
zz`?<1)Hir19vE#y_K;{5)IJj{E58HQnRVPpuE|M}+AwZNKfm$(1tToBN90Ct`l+s}
znwps@sY%wP44$AQB?Wu78yy!HRz#!;0HGOIFE1qp1qr^GQgY`HK5rmc4HS|nE|Z3-
zNIYe7H{_M^t}A@+hf!Z3a$LE&t(~2Pg$2m>ZEVgiF6_&by@7ing@uOt`gJ8Hvn#cG
zj}9!(q}Di1;lX%tLznncuw!539L@bdHQuGkjqwJZyCRE<Sa=%3ShgBo9NW2}0u8$D
zF&Iv`FfIS|^s?yyFRc;`U^&IZ{^cgj*11m3y?8AiW7_>OAyCxNSS!e1_?lpsSs*wE
z`#Xo*rTz9U`vAvepdErkhSX*UmoydeEpn5SL^u$XY|SI_%Jk!g?=Q*)2KKhJ+_yRa
z4~0SNE%`nn#Mv$?IvS4G8=DUiJdYG9i)mvcxSHmauw?(?U*bP)jj;1=V{X;ng{>`n
z2L}VA-R7{cU>neILc0b01?VNVwzpI6DUAAY5Jh~BEgc;lqk7>XjzRaK<M$*DAzxT%
zkyOluypt5M19}=87b9xT<Q{Rt4OzhW4)Q_wC!n;O=x`Z^vuu5>_Y%QxgN%>7AB-2u
zqHk=EWG%`01#WGElz_a8$Sujj%{>=3VjJ3Ux)j-!c0)TPU+2k<=!m4MqOyN<6oCmL
zdoMAxvIsHFDc|G&f-Vz3kD$92%qeY>JU%{NO8yvybOHTM0@~Na(Uc{}`&%P8NAe)1
zrlzJeIqAY1avK1v2x@ail!X_{y&nbT8O|$o$G-jLW$(s}@;5}67>i&OLEfISvj%ag
z7e3QvFJz>&j7&{KWw$CThV?)~0B8qw<x6B<Tiis_(!qnbFR80zU}5=2YcGcGcp<5z
z#9XK~$nXok)KxO0wY9a)X_q{ro*|3?wz{^~@BS1GU^CH!WXP%SiuE;#l{yGMUXqEM
zATCb5;|ysmxWywbCKgI<^O0=0g*}iK8E3M$8#FMH7A%fPJ3KOyk(p`f!ZsQrkZeVD
z#Vq*z_O{#Z5;lU{sV|3$d)4XjZ%+@G_CiENBskKpuCXx+mNY`4A0yQOpHp33y}_t2
z5%Y2X{M`3qowZz9OhrWnq(IPK42_RRZ``H`O0?lKNoASfvs)siZVZ%o3FZWqY*r1Y
zQpqI`<Fx<)pt<K?U(Xf;5lSYq7{pV}p#+e`5EWNDg-pbzh~_(V;v_yh^TCb-_OOzz
zr8kwM19=DT-Hv`2Ox(e?@`q^klwMHZKnNB_OTz+M!t#i7z}$%1i$vSY)yp%M$)<kp
z7EcJ$2-SHupSL{jz5l6sXJulR;$#=L_@LhLZ?DW(EsTf_7xtfxZm+>F+r79qBL=A8
z%v30x#&7eQ2UiETyrk`T%f8ums5yQ@%(HKD=91bX+CDBYU^Bo@cnNQ4>zCW3ziD2<
z0&R8m6*7q={8mULaJVwFpo)TT=xB9u%5cW$L9#I@??Wc%D^|%Ze^wj3`}1V~B7Fy`
z_tnSu1$wj`3+hcOJ!>#jwmvUSO&4oC?#A_v5Y|cAep$%|tREjYFh?;uI=X+ZHFNav
z%d{<@uB5KV>H;k+T^n-3A!*PS@@ksbI-{Jr`NPFKVYi+)%0#pRx=<K3n1%$^>8n3{
zurnO2%|T5vN(-y20~Y&uY>c`*3o@Db>g*NIX`<KrhCC4Os@Mu?P1_TL%iTqvz?vbB
z_>18C4f*N&E19XO>0#hdxgm6s0sm?Hw3<fA1W21&QqK@%W(@fJCEJj<3LY}C=6|P&
zI`&wo&H%q`&}m?PER-<ME!Av<y#~pWRk`2G-+}*Tr9cP9$s0n!dJ(H~kJcLkjHO_?
z$d#Gim*^|%XrSl|6zD#<tObTHE^1u|`FL0#agkkI1B!|+MgxmHfb07u6m6q;g|AUg
zOHriV7Fn(PnbaM1+MU#c$6J$jTsSYINV+cXmCx~?OQ=|Zf%jAK31YRCPep<4q`-Zr
zFUJShKu)W-GyXQ_8C`(V>pO2>`~46#3R0dg%ioUi;S9Ze(<$f^C8LQpn)<)=-Fg;z
z;bR=gZ7kFNBR|aoub*NCZg@EVU8fLK9JM78wCw3;{>vD+YjZdzcv>sH!&8hE$G*J%
z)!yYk_ebjK2nU`pd<}UfhUo5T3oq<V5b(u;JJcFOq|JYW8Z~^c0vTD@{)tl9aShrI
zzC|;zxg7kU1ca5@C8lawT_aUh{kF4Fxf=O~jV+08b=oBX4R_y8t(Y%@kjE47%8`IC
z<Kn_907h#MQJCzh9pEi;;*(y7frTZ}<qC6`iP1B#v$NCExcTAUwvYa;33|{O-Wzq$
z_WxhDY$L+McX|VAry!UOyTARj{qPbM6(u4fx`*ZhpNpAQg!TsGOIL9B8QI(0E0anp
zE#r;+^@|N4sn3>}m}oUuC?Vwr1Cj~_1t;yS{G%S;g+WZ`1TAm9R3a{UoDEdG9M2Uc
zQF@9~9AYyY##6T5X1_+e!@|P)4l*=FoS&bA>PCtqDG+Ag5nKwBla*~S=!#5N>^EXg
z)us>@?h}V4(=;?p{E;amD_hDl&d0@-S?2P~a;`9;+*27bdKkO<fwN8*fFQFSnv#N+
z8fZROC@6g(@SkM5m?RA%k1<5<-f3o_=qhcFH)z}S$F^octBz|Jh!Q!ou)M78adA|c
zvM%8<6X4dwj7)m)5n=*?!@+Tdl1+abU}@5Qr~rnqg)+d0)OfvU`>{)7id#cpTkj|q
zbdl5i!Gp9E(-;Tnj5JB(xH1^~?$`(ofU*2~sG#cXWfmci_IgorM0Ke32w;f$pe?Sc
z`R@PuF}=&esh|)N1BresX89hwy%b2-al-b(GPzt%<S%I=W4EEHmxt5QBwSft<D)CO
zD(^Wl@9^w9s3h^yHen;s?Rz%Pcnr(*n$uljg(mWAMY9}6euxE9HDpB0<m?@T`6@=S
z(Dee3CSIQfE^T36TVVg`X@~du%Cnuo-`INECrk6~b-9$aR#7;Rq3RV#7Wu*4j6gF*
z$Tz`l|0#N8wpNs!bcRmX+uHCv2Trl(q#AV)=JA#H+d3rF(OJVzq0i`(+$wFPB=9#X
z$(ZEy4eER6@tSat*`0dUlW<v}S84QP{)8MOF-iBeL0;-s#LB9=y3Q6Fk8PnIu_@{8
z7>#u|e-LqeV~ctor?~*}pQCLQ`}+9RuSf@yw=o){gn!74$mn-0mnX0z>Q`CZ9QoN{
zf<E*W_WK-mqsRI|58z9~TuJAsjoeX{D_qC^S6_Ybeu}svFVpu%I1IU7yG$@U3Cr<;
zOPUQsNi<5?Y;JjTC(d6{ZzMcCbGg)+SH&!E@e{d4L8^WoZiRI^@i#AOP7YkNMywb^
z91Q*@k?v=9%#H6pLSLEoV7<EI4c*5u2oOy{ARrbQX*sWdQp3n+zS0Y<Hh1!>;v5QO
zbZo#)G|@e0W0#m?9DU8;&_Wtwxr9BjjFA!N#NqJi4A2!SH!@Ls$qni2^=9M}18Qsg
z-=F(HoL6b;4A{9JbTxjIx}CMz95_(ja5G=<nrPrYd+%OVJtH(OzL$yXiD&@tK7VI9
z=}`H9J-=EYYW6-n&M-6S0`Ew4y|`}*dijI;oAhv=;0>Q>qhIXneyIU<gV!z}q;`E0
z24H-BxA8e;hZz{q3V+JgGCHf`vw5x}7r=qVMjBTin=yBNcH>>$-_J7n8Qami0>?${
z_b77e?U;A)A{49{pPn5CnL3Wl!o&!v@0{F_7_qCY0lZ|7eKTowBe35zND5xle11$W
zvxaR!nh`NEYtxkdyT1N>YmcBUx_;b!fFbrb-eV4=m4K!GGRHAy*=tK+|IYk-Rmgws
zccomd0?^g@GneCUR#EqFR~)lGD2XxVL6)S_%1~*<3$MT+;i_FJrr6k~Q|^oMp_LA5
zhFcN2u)q2je@=?q5C~@fU=<Zc6=Y#_SX^@1y^iV&KcsAGM8KHNS}?ZMa}5}}osRk`
zfN`v0Hxk80SWqV7-X`_+38xnbzrDb~v}#a(-1Nl|2PS@^j;s`HeHJjPzG*m3Uv=5B
zTmZHcCfKl>VO0NNA#Zi-j~WMQq^_=)H~<thUi7TqF$*=pEl#@lzmo(YZs^X<5!9Ri
zb#i{&o82rF%H`MGc|)=_Yi@R1dm0;zoBSLc9n~|`FD>qa8X}LA{Tdt{$(ds4vLBB!
znXqtK4<D%wjEKr;_`vA$Fq=B2HYsMbI<F48BosOt?9-th*VHr0ttq+L->%7#GJ?&K
zy>V*)XF~ehzNVC_dIAG~_Zram<x^tgg>?Bn(Ex7F&GPb_gkTx4Q35e&v_Y;hnFSet
z#i_k^wkAj^dm9U%fy~2v)nuDtiJhP!2sh4z>GR5s^`e=;(bGV;{$$%BR0}8>oEu7t
zM4%VX4BV)0Hhbm5@~@2T9X_~IvJZf;Zw|EUUWQUS?Mxhg%~}f}Vm&E7m~1XutnJPx
zN&4e#a1hNC*x>Z-NY|2d60p1fqobASh=R+T)171Y&*s3|uV!R2Uf!JCmBkJkcDLzV
z39?6Qsd~>pY?EntS`GR!<&L5f63{ZjgUFhG=gYK|&0&d08wK(|Jjw<WiTHJOY3e-H
z)zp4_F`I$IpTT}o(ljg}?UG&CGG7EYHadCpM9|^?{rq^7KF5Ak(+SlDsZBEZQ5)5r
z!^1zmhkmJuD=MPMP&R?Ir(m#7Q^ck3>+IR1EdzUd#)|UeFRu^(K+z|85uTcw`WAoQ
z9;z@ow_e0pR9auZn?Uz@KVpwLe8UgD6aG1rY2R6(W^z&%M7y73?iJw>>6;6`Dk>^c
zQ&Wj{_N@s+o0@<y*gW0WK*=T*Sa*G^4#@wIDWW`U;JY_v0AxYd_fzH9y^|A=fHW^-
zbNg~<<?gOEozIIQgLDhr7k6hpU*Fg$E!%8%-WQ{6MoIuQBO#l#Qs5EIFkqg{{Pwwz
z$4pLzS(G;6o*!`LizT>MA}lEXQwY*f9J{db<mBW$Be=>U>ll*FgMbBz&gRo=c0gZ@
z^>9qj!^;Gzu|2|1kOY6gG9Q_|%$S{%Ll(ns{|ADHB`S=Kkgx_9LF@(02-`R)K0ZI6
zaF%gzVSODWpvPh+f(H;Mpp*H9JYXj#p6UF83f~LB*@lI!&y+{5)<MbShmb1&jcR6Q
zX5A}oLJyplKEMqO43s{gY|^bPDOuQ%J;yhpKRc5?MdNV<?4m)M{uIHYwJ$9#4aJZc
z0#TjBQ5FU!CQCntvDx<ac4d1EbF}PTHn#pzm>NN`CmqHd{=Gz+ZxRUn!OZUB+7=ev
zga%(_1av0(G=KYZfiHK#kit-rXO6X0hY<RYp*<d8*J+lB^EFM}LY4smf+wa}t~Bp7
zQPnlzQ(2G_63GfS<%&u3?3!{gnrp4WjLoFjXLTv5sSvx}(k8H=`bFB5zUcyd7Zo&?
z{8O$dPDUnuj(Td)V9{tckUjIjxmu<~YLO8T#1QzsZ^L)Miv<-yK*b3eW+SJtO_xof
zSO#Bu7s7j;7rPk%kU*cJ{C*%V-9dtZf#K;vA}zBo2(6FOrhVyE7-AJQU{cP4NYI1g
zx6Mec`Nu-*X&@5WTZuub-$PSwl&Jk0jNcXPZl)RZu*VY;bMVH&02OR2{Xdc4;1Chb
zSk0Xbh~9NV?bg7$r0`s@nE<+Mw4@TaaDHH@<?PaScJu(9I;5L}5k$)7(LC;F`ERYt
z1_la@!{i?{bO+z3;+z31sWlK9)crBk!4pW9JzYhNf++U)e>^=s$+ov5CM|%$E2%b+
z4s8Ptc%)(OlEEYT*of(MS&khg3E0QrU1rUXNCIYn-391Qs^EPHdIrWO^qmZe-OS|V
z{sVbxO>B#hk+%xDfeN``_A)MCu$|w!(s(q7u<w7NdvFiVma3qkG0o`Q!8vkKNrXrv
zTsq^UB=TNgeWj!<BT0PxAOi#Ydtd6dAe3}3y*xt<;+edRKyntrl)Mw+(o8>S<<-Rl
zZ}0ETO~)G}VTy$~V@~!RYN_0i_06hdK=3FtrsPPT`w#~Ui!8>a)1;i4d6A$lGoG=@
z09un1qO<ckFE6i1IB52?U+os5a$6jPb^riQ)zkh-geDIrZmlK1x=eYP@pX95N^k)b
zwJebBS=D7i$0%Zk`pHENhzuYP_EdmX<>gRxKxyuPh#gCSd8+6y+;46$293Mvpu4B0
zhGOy=y9eYwUGGxF2o*Ok{*kV#MNH4QxwRuH_tIs|aa9h4$zOm;*SddKw6Lf^-WI>Z
z)19a*E)HIpjc96Op;VEQgmL~O+qSLX)cT)yoe8z?T0B7&pk;!1)7Gh>Xb(<f$nNj^
zz}k;Q=%#P5!r{mN!0z1ufOJ#L&*(%&oB`SKmX?-zUW8E3Kb;+TML+t-qSPUzNq*_F
z(GSStV??^Sx^@yiXQia5XlqAfp3nc0L=5m(Q+or3e1X$zqY?+_ao^D4i2A+eucZD#
zeXIqW1cxUxz`y!mmp}w)^JB8w&&<qJb=%Cz5m9V-3pE821}xi7Y(YL%E8u#1cs$(P
zh{{rTB6Y4>NaaRENPzIC>IND<f?`pmhfq1Xa=DToBc9e?Cm};4gogB&q?;Rig6Aiw
z%upd%NX^ccHrugKRYgzG#aAns2|yXNMT;nQhSx@i;#17z;N*;G1i8Tdqeo?AWF!dH
zv~VB<;DP9KeSJM<+)ox25O*Gu-zX;aCuRT_|E9T#Mn-y1xF^_F<4mEVtPHko^|o*X
zTEFw=73Jm0JBc85ad~;!-CBwwX&rQ5%3AY6VOTLS>F>sHgSNC3sDI}|+_J!X8`Mlp
zN(u`L`}%_3n1VqS4Tx5IozhW|%#%qzJ~`>=<_-^woFG$D26qeaCV==|Z3RMIbq=H(
zlCi7^{Lh=4o5jV&CWbd6CnqQC8EG<b12zW8{;-stRhXXJ%gr`nkamxQLrV=Ci8Nqk
z7xRnVT-_+VNmq9`?3pn6&g<W<Ke7M3tw{~3urLXN`8a^7{69<uVoIV2F|n}-&-E5l
znaITYq~9awzK_pIQBxb^gX$p5RSpEZ3zo@$Yjepz`q{!)Ji!Tu_-ktq<*d+~P)q;@
zBJsidVsN#Wq1T#kD~|(4?97o7owS0_sw(R0h6cN<>UtVlMp_0tFd}vaJ~9%>U^5v2
zWaJF0462%t{Xd);oQyNirI{5Y5`_Ajzph2K9dP{HHeNB;geB#LY0Thr^Ux38J>$Qq
zdOF+}X?nHo!di3JO%ThsuN?ylG`Vr!Mkrf<F{pYC$X1N}#@=<SbLneS(A>4WipKhT
z_w9fG5V&o7seyu&9rP1Z*5hWqvCQi|46hu3D<iK7Zv!>+g7{@X-eIO9qGA$sku|Le
zJo=b0l63T|tA9M%d&u$B(v-G6)kZf%T!;B@xaoEs-#~Wh9~^{`Vfbx406~e?^xqfr
z>+9`~+kE9s!8tiPZHz3d|H$fE?LfiYx(-hc75FbUHddMpgkWvYBy@Fk6&3M^_P)NF
zU5{ibQ?w!5NOW55@!o$_ks4!!udoF-v7nEeTUuILd^GLYqKvD6AxM*fDA`a$@eI^1
zSzRVme7wksM?TH$Pzi3}{@ux(MGx~YlR1#})~ajvm%8}xuD1Cp0cFT7_272Ni;2g_
zmb3NR+iRqCt%%hT{`8ED6<ml~2#)GaEiLgUe-U~DpayMgKoM=Y2KJ+v74b=Mt6I&_
zP|@s>8C>w2rW~G>)Hl4Czq26xw%~}Uhs1r(!NDOA_@3Q^`1ME&@>DSQh!%b*&}Ixo
zb2LChLj#Y)1C17R)0~h(Fps}EsVy>ca%MCrwBR5M_+=j)n2H<fz@^)f)?x3Tz@ElI
zPonWO_c}61Ht7-y3MOYonQySP#J-5OFDNK0D|>iws=`?>uGP2Jz*qky&mr!NPhThY
z+9QU*)iz`n5-Kdz-iHd<uq_Gd@xz&LzrDaS!x+x$PY_)PxCSy;Uh6uTQ#SnuwZySB
zcNc<h;g0R>5X(TNpO$HM+2Kgbim`pLwC${ux3el*T2>O3_5BnQFZ#WaitY^R`^F;&
z<)I52598gz1i!!8@vD|Mu8p3atkh~rn-YGPZQJ$v`V<sL#t8riO)WWyL`)g#<0qG~
zu_?H?-25j<iOqY}J&vP+`lSp0g{hXoIo7G@=}pZ;1oY(XI0252jdz78?>L&&>l+#r
z<?kczU28QoCB+&+oy279>=?8G89Vj>hD?OsB{EaNrFmj^IpL0u4v>kZ&(iJ{YZYW6
z$jPNGQ}XlkQ7~L`j=yiM{{UsiWj*daF^1LvF0SCkR9X4bs;Vf;%o>=LH!%LV_1@lI
z22Bi~bWrd~A`Z#Kru>ak*YUf}Eu%*hF(y8K`r40P@Sd*L;_X5U6%`fKYCX62o9fwV
zo2?Zru7hK>_#)%}cmwyJGr9dVUAs%LkVSjXfGzKGC>{|}0%fZy7!tlHh3Yy2!!f7<
zoUB4?Xj5}@73TTHBm%$YBEkUKus{b6I};*tdKM(iIP|&NIz>>|w?;1uBiPO1FeSTt
ziW9qnS|2aY&t(-&C?=dC_pr8jU^uoeE-u#B*LOBZ2GTVB-g#&kpz`zn$QEAK*VM>p
z{*gn9UVzY50<R+E%^4gV1OkCdMM7jfUITub1o#N8j?ltiNP-BmCj8esJ?vauk_fOg
z;8Z_FGBWn#3_z`ubtNU>aUCE8MpJ{cz^;jCWH_A~Y0^wg+>D1O4N}mgs4L+4a)rvv
z%h53~QWoK#ZzcZs34(01Y^|LpMTFygjZG*@LV|*<?CsMN4jS6T<fNF)bg1GCr+eE<
zukVBH*XIW)U9738;rF`wfj~tp=<EJ?p;O)z*3{G#z#)~Ak)93*2S*xF-@mkoYmF$^
zoZrP1rK_G@rdN-xi<`PWlT0R_d`|(IJ!w<!wC@UHs??QAMTwLs&R?Galpdy+8vyA8
zuqve@Npzg~dd;^v;V;sd?eM`xCaVARTo7AhL_ghZb4nRzrD>RO`*`)BbU}LTrPL|W
ztIxa$-_Rw9lbu2YHD@5k*2*G)+GvW`kwpA*3^#ORW$AUniZxF_jXuQh_6`lq-;J89
z)7>+~ye~Du=;Bi3E&htx$;jXZnvM7<&>RU@Lw|k>ZB%wwH+5n^eCN>2#L7s|%*;4B
zI?B-C4z9$fT;oVaEsn~KJ;>#Imkj5xLlr%^Y8ywfkdXL0MEZbLF#_y7vH<EH0Tk+y
zHOxB>Ho=Li8yl({?CkC8m}-ih&Ct=&rO$1A`)x~V1UK&EaKQeYT~*v1m;KlY%N_ot
zII2x$l)V0gqdR>4pg>K!b@hm)aRTkaE>9?Mi8F~P2sJdrh`7W|iVM*788t#oh6D3W
zj`hRu;J^|afJ6O^)^n3H*ukNG+>oIXzXh^u56n!b7U8>pXE@{d4XyxA(4}uDPe47i
z%;yeqFL()U#UB&HUj&uw*vsvmFW6aCQ4&^It)Zz<B-G5^=6@<yG9`7)!axU9B*hh`
zgLf;}R@a<xIWa3qh$1T5xaz-7oM=c06R9AS^KcFiaFFruw)OQPA&2PXQp*n5WWoNU
z`;TGQ$+lY5C-?Zuw>oaK!~&fV4z)8+K@lGm>o6h)HD8T=%r&)*M!+YY?A{}<y7mf}
z&)vh4?q*>ayL1b@{RYvPV!o-B5k^u{LOzV7q^zpzfI`f3;=EjfQxY}ROjKQ2gM$2D
zwLtbKhg#^pnGkUPN1|9eNDp47uu<mzrmunFT!s@-jN*5kbPRVCIC`78(WaarMuA_?
z*K-;kQczhWtUm*O`_W7YEWygB)3~P#U2haKtqV8N*G34eFE~B*n%T@lkK!Tcb;1pO
z?;l>o{n%f^HWA*ZQV)7yJfKsmG+EDAsr8&AB+SJ4oTIDvDlIF(A4oWYl)ogd=l20u
z_f6UhlIAm7)6C0Dw!Bk(@4qW|c1nZ(uo}c{z6oN=x#^Pq)~n^dRU}u5s*DI;OlxzR
z{73ffI4KX*NsM&{Z%P8Wt8eI~i}yEAX)Ceut+>_0m(IF?%@H!%ugAFvO&$bpY)V-9
zp12KI=1`E?ia3%<D(wkby$9NhjFOLE5E5|(f-dHqQcH}GNw|DRA{5d_6%0L9&W6#U
z8;3AHr^f+BWRKksQy=xzEnbaA#RQPyQpm4DNA*g24rV?V7bfdMHr=Ajd+)9n*DDq^
ztLxDge&LxWL#vq;+NNK1&d9F#zhCDqDiAR;qow7FxKU<zg6>a~cX6tC4G1`_KJ2a+
z!{nqKb$FTi`pl1u)<aIfd(}-x)9PElKiw_&vBdoIR*uh#!Z9{$%Nq9Y|6aFE%kx#$
zJXpbc-5f(8;4fckFW{o~a*%FO3XJ8t$yo{_>T+HDDv$U7{u$};4P&>*KHbuN2f`Z^
z4EB6FTQ;KnxOaXd7A-a!$#<{Jtt<VaLxnL}A5xMTWDml@zzF-*skZot_rX-7SEw(v
zzt!P(`%4v+q~culAanNu9CnnqpD%3sP<cv=3#|Pml-<`xr?@n=v_AP<aRk^MYI}Me
zw&{zi_k~dtQ5FZ90%hAY-ptnX`tLapzk=6Bj^@s4M<4ngM<vpo*t)N1W72?~zfd0(
z=IVDk4Z!lKEoz!hpIG0elrD*S#0EZAC;t$H>!$%#^^BeX?n^C!`!HlB3Q7TpDiB!K
zS$23Orbh<}z*rKo&UVu*%_$n<jVO?$@k41xoX^8rkFhL!XA7~h%c%2T6CbD)0X4S8
zQF>xv{_wr_487Tf?@`v9djIg#m5XVD1_>XOfWu>jR)y=5QL^LEN9SNifUYKl$-L#?
z@f7J-G_OPn)j}=@{8YYy_Asm9u_O|T8jL(H2QhTmy`LT$T`RU^uCA_HjfNmX0cyGv
z@V%!|r2&s~L?spwLEs;sofY!Dz*VII1@-9?E+21Q{C!}b|I1*<zyA($MIfGnzy;**
zLW6k>g5Hh}5b8kz;hcFNo6tl{`qO0&(WqZo?zRmjR&|-d!B}v$RC|J;7gAEvQxrHS
zIglzlPvm~z3K}5BB`-+i47&=m_*q*!GCVx*(}6A_A>rOwmy(qgH9H=_vc0yI)85YG
zu4;HZlgEAPqdl~_Nl=i&U9#FU4FxLTPRj+MK2&}>JLMG>^|_rWf)3y~MjIV~(oJLI
zCch`g?_y?c007nZ?^o;1Ljwb3q@-XKuB<>4P*-S2(AVd&B@E24_+DDz=ev%!Hf~|a
zhCPa7adR`;4(Pzh>qHtgUVtQsN!0fA2y$3^qci3EPCy+U9RYP3414IPsmH7%L1k*U
z-_zB23I!0!#vX}y1EZfD!aw%6)!a^(7pf4BYz4tH7AGeFlp+tM-FwH6-ru`>6G$Zy
z2YkG8URn)+(x%l$qdA9vs6&MMz5YJ#?i?R-0h}Bh{Z=JBZLw3J%1F1vmFh!H%+A*K
z{^0@C-xTR?*uTAPpsdV7K>>N@4rbH_%I6Ob4y3OQ{NJC^KB3Qy@@mV=|K1)=&G(V^
zv^l>$UV=_;vHoS<9{_oRl^Gz$K)>A?<U}Ry?YL(J{V=G+`U52*PX8e#Hk(DtS0hMP
zR#vr2c^lhOfwH8jo2REDUW}qfaa5oLpVcg3IS{3?vhw}?d5e@U#0m2mT}-wJ)|X0q
zUtIS30JI1}<+XGPq_$FMATq7~=uVHH(^h*(x}vdo6bd7#i<iD0Ifn^<k*z(f*I5&y
z*Huv_zo*>#ukoFTrlO+g{(+B-YVN&-#)+q$gE~x~MyJSzo2;1FW3J&3!HpY=nc`PF
z_wUx#vTnXKj6s*jQF9U;^xtG;WI#i#*xek=J#MjCI{&w@LO_4uaGftiUF&_=AVX=>
zNt=`TYQJlRaErq{u@&_3ns^UNQ(tPicVM*utJp7n83Gg(Riw;*R~-JCOICj!g&(PU
zDs9~a3-dF&9G849Pgl<gy)J*>a@+G?*w#<FuY{j@dNWAy0UsU;1pT;FJ0UVLHc`bI
z>ESqg$*2NkR16h$WAC++)s<D)n_Jrhu0p#*1zwnabY*V_x}sr}(~jSN+~(JHhZ52n
zh^cByY%=2%#Nhq3mBrXA%0K}fqBIVGrgb+4`LXRv(85pprEXz;A$p1`nxGrPKPVLq
z!v5y=macM=iZY_23Y)M0+H!7?a|)R!f`;W#JxcFH-FDVaJ-^Q@aG1aNce@@x{@X)O
z??-Ps=(d_8E(cS_w7648`3z_j<bK)e)z;29a47aa3oXt485#M=sN+NBBk_PL1dL{w
zOKO`lY=>ejx~CTkkbF%n)bk{G#rLpHB`h>Z4YbCb=|IQ3Z$<K02WglsPpy9feNoLV
zm_)xQ10w&nC>E_eKZ~9`)Y{=-rT=9T{td?%p%KO`iT^9LigLCeGNbsiD6&C8VU9g)
zn?64}CT6=cVve<99Cau2M_Sl&6B@-Ff0^(PGe=1*>-d!|9@D?AIDea*6Vbz9QF!ci
zG>p>9`}}w!XHtK?eEQ9_@v}h>!N_lUy@v-kJsTp!@&mTtJa>KWUYAp8gN)0vE;`S$
zRfun`m$HLacjw!iO{N+Ix%1=n&gtJdS{-!z0zXC#V0R+ZHc_<iTPbsewsm{#w;B)E
z1QICE9*~VZ8XR+;Hpgw~Oq3mF);8bnlHm_Vq04)~)ZYw`Nce7w@g{!Rk{4bRMVN?N
z5~U0L4rpu7K24nY$8C?E)^0{@T|?&z?A3A!a5;@y5+fgDqB(o>4|H+A>lK%k47sW_
z%!v@arVRHa5ek~2E#Z4h%k77Gw$^)+%c%+*9W2fogKCY9o%~r%xJ%k}SX|E9+Y(+>
zM6$GlT}7vB7SIPT2f#=+%*#^S&9<T9^jpt&D`&k=SU}Y>5wEJ16y+T|xX%xIp2aW6
zjtIDIte#M097_VLr!rD#-1F)bmA}=oCZLJq?h@;C+s8migf13Zx=hIq-cylKurqR#
z2uXNTloRlM(e_>x4tnR3IK8NK_TT8eIZ6P<l?`e)jol$7x1!=x=s!4;zKeON6S_Fy
z#*Vg=v27z0ZYsLKO?$E-fz;JiRW)_(%p+e9G%m~fSYbyl<eV#82*_p=ImdR=YvqhR
zha=2vUF6BbI>)PTTUG8y8MAs5L{?XNZxLsP=;2RYE@j!%21N+UM0P%E+Q8uWy3XUU
zZHTU;q7B$^e;#^L8uGXPMs)R&Y})H!KjxoyJ2+_TWzT~H!p}YF!FyM6Pl6@<4zivB
zo{9ckH*)9TE5&S!&yPC=en;v~f(xD0<n2Z}M-Tr_#@Y&cNtVG}dkTxj*lqi|zrT1W
z!V+~emNU^S%lY3&3x9{Fe@lb#<+d_kr*py;yl?`y(R$bV_Hr-|bzyYFy}Qwcn2)KM
zSU~m&gX)WT-Yc-lPc$?dYe!{%)L~sT>huA8NCK|AZ$?!Ch2L7^<}L(#kTiZs3^NIL
zHu_wzDh?cKWn9;8uQNICB}PPLr5&?^i{9j2i|;YFa18>l;GdrfxE%#N<)}OHFkghy
zwrScm&dO>kLa?{oBqd)%<EJ|x2xe=x0=@s8A3va<EAHyfg1kCe_lrIc26@+mJN<(1
z=Oo=vySsplHsp~^qn3dJO*t1s8LIm_MsO`I<N?j`u70FiT4s8tYUtwksZ9bY;8<3m
zjfvU2uIKMPJb<6A*56h*!nH@B2dgp~&NqQdlOmYhAtNJR8XB7DFB&em{8e{pNYW+6
zqwL`MhpM?<AIS(T2xsklGN(;lhk(Gp!Vqf(2WqNmh(GmY6x)PU4UC7YJ+v5Rm>WOs
z`ip1gD5M`AI``h*A%i|0GIUS9vb1krHcT(Ff<_D0f`aUU!e)x6$ziA~mj4Lx@8@_V
zg7j-%N?UEmvoArBH{7NUkJt7&g&@}dL-LZF5xSlgbq)F5?T)?sM|SSu&o+lT2e{VO
zaXQybBVeD&*JMuRD3AXwz5HAI$()K><Kc}t{x6}67oTx&)(^s499`KhtSqF0rrl(Y
zscy!xvv<sk6Bl}?uJW_kPfnkkfL(H&2u`yx>GLjcsI*=%5{AQ%hTXB54uTzh+=rX#
z(h50j1J8!wHs!om&!>4Aj3k4O7U0vwiGZ#sAnUz!SBkim(TT}fO`pYlR3>fM6t&_k
zC|>UwEHe)B{o}alzyYyO;2WO6QUAZ_>HGV5Rafj~%DjR?LI0~1snzQwh3A(>-V>tn
z8(w@hc}h#vB8mpfLkr+&8H|!Gbb=1?q+AnO9C0xxWgNv$j1n=+8-hRWQ4Uc7uk+7%
zF9Y$=*%F(fEW@YCskU@NA?L)VNQ3@*tUiU^Vpyg8>&kBQq0jtg+keLZ|EX4o6y?la
z;9EHsDr9ezscEx4qKyn7ZS(mllwA@Y?<|M+s2r%CP=kVi*tB5h__}AH7y&xTgz{Ch
zd+)$}u!q_xG@|10w)KBaopm5xf857)$3hHax?^g(8DnBh{p4o4YnZF9+H{+lu4$&Z
zxY%sE^J<1G@3>;}`Ffszp8x!D&bjA&&-s4x_5R>0P`whi&)P5}CZBO64$5jo8jJU_
zB50Eqa(G-eEre_*tCiBC9(8s4eaYC{v$&-c)vk<&ba)Pa)Gw<dd{zDab~>ob<>5Ak
zUQD6wwWMRU%74zyr>A2qGfUpuAAR|c9B;$l_DbXy@prwr9Dg3zVayVA<Nq^I2?oos
z;}ks^X-G$BWl?TkJ#(Ci6u%-f$zRSsr@pj4hmk5mc{T-Ry^i$7%>t~m+MTt~Gv9R1
z9vx=#1YJ5-##CvVzVsbTM>TQuUe_x2*FG@kLL<BW&JMN<^s$i|5!AQUza8`%qjqQI
zo4Ohw&#6U12B!Hf&h>7`h;hSl(noUsonesBHLB0ww5i$=Ow3-6EO(Rh(w}H+U0KcH
zE_bV+@eD+0E?qLA%ePKMXDzVOP5b5byqm}PN=dJdImmzZ?(2Aj8l>iN2p;CNl<be!
z1yonSBb?g9&;As{q=X!QcdE(-@=zvNE+Pz?`-xFQ4*&<0_$9+oSEEcgy@kh_HtO$y
zQIa|TM_n=8E~eS<(T&U9gwztIMq*c6x0;*Fto1HqgWew0);=z@Vm7}*XOFPf*FmB2
zEXLWiaIW;<>~{MXRC?lt`n&nrDX~z6p{?kv>)W|&&Tqx+BPYY9MagLz-=wxg>Y)Lb
z+oz3u-Y<&N!=5?cyEn_&>|D|qMCy`O+3<;-x+&>F(;n<?&Z1G~TfbLs`;rPwD&;S?
zqfN>K7`hfw)*tJP&%Xzln`l@?A;V*_urhtj8~fne<GS>&tb7FCulUZ~WHKu0a2s77
zwgS;)ZZHNfmW61nTL5Q0ZlIZ4$@y*#RZ^sFtrJ3r_U5mMbV0&7{mkGv%4bW3Y^hdb
z(7mJW6^3jSJS|JA$hG_{dtdkElytvI`O(+cVsIZSh}L*dg-Mf==~UeVkyKTfTsx-r
za==x#=Ia&JpGsxJ8~r8$Z%~<fg=Xhs&j<**eJ&3Qb`EG%x?EXNXg+*0&h{XmOs|g0
zwWQ)w-?`JN7tOY3*)mNor3u3y(0yC2!5BdonQx_h5nr5gN>pdo(-Ae-E5;AMGa1_Y
z+CO10B0P|}=B?;pTi)thZE&1f^-+|i!Z$a!tPV?)vq!6HvR@HF_DB)&(lx_Qm__dF
z=`VcvA*RD$Cb7*^H><oqUsa&W5n5`?qBW2}0`t?)FeTY<BW^R&Vbq7uoF6RKZPouE
z^c@U27J#bVJnqhK;=6S4cYX42T7|V*B7sgoeckCWYBj$0@5hD9r|1&bVKQHy_V@G<
zgL95K57QT74{rbI|1d7yk5FaMKYv7a(kpUksEabz&VCJJ=HPa_is(S3Ym+PE;xt+$
zv=o&V5omuvLkE>KE3d(uEPNfi5K4b=7~*d&u<+r^2=hRO-G6n}O0(GzRbLjM^L2S(
zV)q$Aj%;P2mwOYOOJDCyo=)`Dm5sY2^wu>^=UE(Ei=WOT8;FJ%3s(Udx9lmBIhZ6r
zv}uU=%Gdky;snc<p_z5-c~Hunzw(rX$n-VWoUYhjVoFMKvQ+SZNzvrq8yhx+wD{a`
z>r6F**Lx;z@8i+cve}YK$CFQyhZRmkE(hj7l-(HGR3WF@x@$i7DH}_!Zu`X1XY$}T
zd_v8vGtfelbaQ4?W8|ub#fjmuxj@ZjH!d3u7n4FCzSdj~=l+RlAU^W#t=TE8J_hj7
zH|vsK$4Ue(T0hI0G_MPp+GF2Q)5Vq2JWp_H;rsdb{>!kLMW);ChoWAofq~v9j1ocb
zIbrCV=|^AQ-s*giLL$ZJ<=%VU1`3{k_BoVo_RxR8;J12U*1%)<o``_JY$|#%UR1mV
zU7e>#RXxYstf1H<NG}rJt}`z{pn=Ac66ib&t%~aU&Nl;(OT)<yNqui(9&+;CSpW=M
z`O({p$7MFw;)HOtY<EJ)q^N#whXuSiSo=fWcz?M^{C#fpd&Fu_<iz1vYjQ<Jg`idM
zYyB}q`+a(P8JEWl9jVlWWMtXWenPsf-9LYZ-(Zp~gccS3f#MP;DB?>>N|MCBS&;x;
zn?|QOXi8PH-*GWu@O3{>k0P?g-Lbg5+(7Aq;cp|Fk(*ncWsM5YY(I?fp*Xd6oWvcF
zawfan_xpG7NK(4$f$}PiC1&K<eY2-Qp#BU1$}`R*fW&}~2&jUCI|KaY%Uim1Lpv9j
zh|U+!2g*jJT$f-ijg3@D7<t7f23d%afdLiLi-pJkW-w!&kB@}+ahLtdvi0tCr3e)!
zG&iFSfTE7m6(N*jK#ehy-ScepePHhuW*fdZl|+(j3?ZogT4vaRNhk~q4BN29xTYo_
zd3g-oZ<cm;%}#Sdpz-qMi>qcP36{nW6iJ)U;d9#!3|U!OGg$)CC72)fp^mzGSykM>
z+GoSV!zflz4N&2*ehBL7cdQGNe{yPSwGQZA#YCR2a{)~gDGA96jpZs?RxQtm4Z*ez
z@T@2<u+rVzVUk8EM`)b>e#^gW#s7{)`!YUh%`2J0eD5zsR8_g8>(w@kaBI?kdx)F=
zRvwTq?KlFjxDPQb=E1-ob**C0X1=qe?Cd4d^70b`R3%9elNz!J{-r!Rn%J;%t`FzU
zo0TqXMiy*K>)`$e!7xnM9~f=8E@pV?XCVPwm;ytlVTY1n-inck=a$i<8yAcYVLP0~
ztyhYQisl^~?M>oYaJdXH9jBs1NJRfjxtkjXJ{g9+z1uPSl~tayd88Q3*?%vjU3Sz0
z(_jxr%28gEMZO&BaVM8qU0tm<Z-;hbUa-iyk%N{6=%s{fhj=k?aB^+~^_3b@1$?jF
zXZh{z0k7^i$a?Y@wa^&gcV&uMPI2cJ;_U4!7_`lmwc{-vH}3c0WaKe=2^zufJCR_&
zAzX=kHL(CF-Kf00H}+ii7vzT+yNlY{(h5WZ4}os8swQ$lUQbU?ODirtotn4rXd9)f
zrh@x>5U2gyZM+a{-&slrCn^^~iPwDym(sBOq}!4NdKNy1OBtU(v$A=|b-;^${Q7m=
z+QT;UG@*MPPTiQ5l~r9WFy6vohkPOjP38bCFLk6Nn%fnTO*P6)S~vo&vxR452Cwss
z32B;{WdRPLQ_fyXcm{i!l$MrOZB-O(fz~&C@3fLrQ>_8D<l>?gRNu?+;}`x{Dg5D_
zUnZ6^GOym|6wQ1<kU?;sG=wxV-jgOFD`0iWudF1Uc6%f76LcKe+<CaTxaQ~Q)mG_O
zoK1|4t-&agEHN%l&XpV0r-GPtVpzt;Fjl(wU#86RXi8TEgV;*rBi<#VMw{Rm2weWr
z`T-L=d+(1QVMvAMMR^B@olG%T-*2fkwY7pk__4`7PB^P<&9<~uR)l+g4v(c{<R-fP
z<!JU`QPl$7xLk^V!o_G!X~c#TwilcwhI%g591N%}C8eI1b_1q_6(eB!PFFtFcuS_i
z1GQCLP!i1g`n5S|h0%{!!Ih@G+x?=xX<wf7n*;{gW4uULXyyo9IAy+Ia(bGUj?U!2
z|02RyG5uPIwjK8O_t)2cV_p%=Dg_40UU>%nJHkaSD7<5pJ(!xJEX5gA@HHv>hV4z6
z%Z#Pm{6-zOg19X~UeX7M#8=nX*Y}51ys;SABqV4gjg3D4$)1l%et7SGmsIoQ6lS_a
zka;+&(QB1ZS~Iv$sK!Zb)(n%oOkqS>)6vn9n2@lxre-Dk&kQgSOPxU@KfafK#oMGj
zBUc2X7h+P<@SxFb`k=-6sCeIN6ee#ddk4wyf%SEKUzk!N9TSYNhax0j=UyuXFC~^@
z2;)<tmGTiU;Tjw?8mR|ZESJxsDT#@B<>e;kaZn{s?30rdU@-3VJX`FRqHKJ8Ljwc5
z6D8VHQ&TT_uZF2|{Ygo1d=8;S8h^FzRHdcFptg)KzH$m^_rB$&Y|SB;FVR3JXG0q&
zKYxU5(=TkB&CN~4ndi66`;Ut%Dh87&+DVY6*t~G?#a#UR$JD+xI)ne^iyHg(GXmEE
zEn0;FW*ry-e>M(Bo2R;pvojwrXGTWG$%;TrVd0OVAwKbQM3l3PGT2821y(O#l8m>6
z!eG*LbeRkp@hfXs9|ra$vLjKAkAFP=+=(MF18q=+CmM{>vm{tHP)M4d_Z%b=2-SRC
zTxTNa?&*;Wy!x2Zp{hZAGcx|5!Yo>QSx5|@Q2L%!VYR$3!lfJA7lql8Woaw@aRle_
zp-)_FEL+o#fk9H*&s~09J-y}5pk)?4VIcIA4Z2yV(|fdn7+zjp?&~8&el4jY%c(v=
zbIEqD?C2+ajk#SfX7_^LGQymFCh+E01m4OR31BJ5gw*n^>@oH(ESR#e6x551=eI0k
zd7(#g<W$wg9#B$Fh2FOXbdzkr#iY#f{iCDcTEULMu8R}jV;;elU_)><ay?9Ltq{GE
zE_*-5YEp5^AdED(HqSwbuCA__)B+q1XK??Ei;D|DHdMg0%r1+sf2dvw>J$^pJPg%n
zs!VL>N0z;e>k}TFK$4(Px>t~w*EKX$Nw?E7+H!e*jzULKnqe(-va_>)Ef+B|#uOE0
zeTW7H_knhtP)lOVS{z=0F%|`96)e|%{|;6Z%u$e_HZBHxS44!u91GbFot`#0*QrTM
zNKEWn!uy*>m5@V@M#GcXe9;vvmavxK+;p&UmKZ6*`0)pPLKj`&r2U+!)?jtt@O@Tt
z?CweK8Mgouk8ufkV8LI!Ak-CqVP;0pTP7tb`Q3fm)K9|A6Z`Bi^v^&@6w$XbEK^~n
zgkY9?OKE3dv`M}^`l&dCd|?9rf-@C2R|!B;u~Bbt3!AsMw*lY87>*6Jdv53}l+4D)
z270vzzfr`mq$tGy4CPmwk2>Ut66jGGEdigms~-N&>)@ydI`ibG%NSxh+<NfV&hqkI
z(3Xb5U^)+^KE}t-tPPHH0v97QF5HWgnCOd49e7K0-%Bj4X<w!uYM{Dujt4WwHORs$
zaZup%Bz};L9}C=YUHSCagap(cO(u&`M0j|6;59ARg0eFo#FZ%{I9CRo+^`Y+Sjw{L
z;T~`^eT+0kLfv2#m*&ftpx4sh->>sPPrjP|{{6gyf>5utPtno-AfMumVaXB&pC#~_
zpdY`nxfzkPU0g+W5rCmF3xS-=;o>GFV;c?dLCuL*oiA}-Fxm^x!k+8}5ibQ|<>+uP
zf-`{it812iie7Z$ihZu4Qd?BnSXIUU^y%o_++0r&Hrtr00;caJRgP(mpD@E^YH+X?
zfh%H*6Sqi6{yD8$4yJ8A1~y+=YHBK&rZK9-l%)VjAuy^>QOTHA=ROTh-`fIZd;8Li
z3>wJ2h_s%M@%XmGD+9m!e`DzBrKrin?|}!O5DCUJ%Pl9H#0|;iO;9Nnu?L~oiHnD?
zL5i}NzP>&%Q!lIK0W;FozhG+gERqc!6GKus5mL!_j~X99jTlB)SX99Nbp<Jh+8sfn
zdRE+M)p&5i?eN*a!uRR1mX+U{^yQb9etNI=B_)M|o<0j8m)n;wk(_LbTUyyr5QI8g
zTFPq`CIhKqQqqGXNEmqAr)P5^n>G+%1E$JfY>bwa-G~P|#e^c^(9tQ&2Jw4Mc+)vu
zw)F)ML9|!%o_x^-M1`;I>&v^%MyIH#sS&fYfWIDnNGm8LbhOy!^Nyy~1K=pM);q1O
zl1HuPl$4Y}`-%DuB-;*M96UTB4Wd9jTVYOGW%0|F3O&kAgcE=ZesWZW>Nga3NpEFR
z)J>Co+d7zpvlII_xuUv;hK!61hz%yj$1R=BOfo&fvhwqpf#k@jEa2+AHYdlz$%%Jf
zfp9xLZ-Rt~2#O_L2Xq1RV}!o{0q{G@xxcS(<#O#E%G+(9w%PaoV_6dO4&_fcIE&b;
z&V-MO@g`w70y)qUsQf+bN9gVyjKfS<2RrBunWP?gB>@4~pniyhgOkuXj%ifg>4i)J
zp>tjylX||gqGETu|JmIfM+y5ML489*;rMXo_X-Lj41_^Jh^>+KG=9xy2u=J8-yMpj
zHrz#?TFIvh<chu~SP@+Kf0p1T)Y~q2ng1|vF`i;vn4TYsi<?is-dx|W1AJOw;Enrw
zuk+mZKf_s4ItOsjrCQ~Xerax={Z;WkK$*F?N{#Dmz_b-ww(F0dKhJ`WRXl@?WZ>0#
zmXr@W2ZxyG>h8~*Yq9Maa@28XP7q#CBsLq{y$8^?`DSr60eE_H@bt6tnkuo=CVaKY
zZ`oqmru1d%uA~4uqpbSNZXoSiP_R@vj2g=&6xE1Rk(8QR1i<c!iWqcu@63$Pa!0_O
za-M^6<*r)^=LY_@MmL@U3k!=I*s5TCNnb?NyOPMu=?b>mh#wAl1>e(3?Zg~Kw(wvn
zvmSfjt)8hfGOp14@3~o^SmtNmf7Kah;V~c~TvAimfm=UqsBd%LE?MWXKTip%+pLnw
zeWFWobNaj9y}*zGcGIhF^7d!8Y6xj=i%_qD-_~SHH1&{KD{=+V+*+nQp%MLSWC5nB
z^=EZV)BkKa&^PF~0y#jYE;~IXA>lkZA8;ffH<#&a*z_zd?91|Oo!dz(B^GmudBo&*
zz6~)<Oa!oznB_WlFE~*x9RcTWai0__{^v*>>P2}rk~7rlwWocX+4L`f9iw5awZt%%
z)_uFL1dem{Icem-?uYpN?bxaHXZd>gLxyn`{2uMC+f5lJ-V-luF&PmjN6^5!_r_CL
z3HIgn?sHM1QH`H)2~X8E1f706Vg3c(KZc}sXNsStl)(f9pCj(pe!L4|V2ew;kkC=+
zrh*)|*5^Ak^>FaCPufE8sLvdf$<B-!c0vpXB&%pH5POWOSzB6M%hCB$8G(oV+387=
zKAMQ99k?Pk|L96N&DyU}8T6C#`mNPBLmE1U&29$3v+nHq8MDQbXP@uY7U!$&wxt)2
z0OGW7*`G#7UX~sclNz`*EQ8f<b0Hs}GZ4-)hX)5s{qGXZA`sQabrH`8(_Mg*{QGAh
zUF!Xwyd);3k32Z#*~<Dl3n%CAw|oCJg1FIre_oW3kg)LKJvY*@CN@htkg|Z5EKon{
zT=(`wmTBiOw+NpdEb4(tTtsY>`cpY&y0<s+wty`RHryJGO2)ydPy(0LN=(ORWeX`_
z(UsEE(UF&WSBYC=gloVQ{s80zAt50^hOYu{f%@*)XY0Fn;~XweLr`uhiizL8aeheS
z62`WPhUZhsJ7PG4UN{5-i;s^7-Rrh#LUu+=sk>VvkBvPauUlL5suTwn?h!4mgNsX?
z*Oysre+9<Rq^;SqzzyIHw1B(=`~jNXoWNuJ--^gLv2)<_n<;Y3u(Gn=P3q$ELXp8j
z*-Q&ZRUI74YHQuq)rrOl2|myQtM`=L%lh&R`*}KDd~~!`zQ6#<=OJ9rL`5-RHfz3u
zV43b^#k$()#ND2Hb9DtjScH$>bIrF-+1|EuC{G(>r`{;TY=~ZA9;Yd6Y@D8(%Rv4K
zBqT5b5hD&-R}Y(n1YTvvm^p`G`svfB4<A0%Q~xPa;QJPUY5o!GRiUsJ_yy46*3n4-
zlQz+v;30BN?p|wqeS?B)_&at$J)n<{JPHMwW5~XS9P`%<;MYg{^zZ`88AMPmEu0D1
zn3yHNB`M?pqw{NWQbbac7KwxN_|9ffe2nT&$2^n*)U~g_f6xWG?^h&gkqs7B6nL5y
z{Js6IIC{osRHYRYAaq_>h@m(g!=QD*NZ#)hv9q%ac9~gP>iA@&k`%lMj>jmey)W&D
zMaJ->t$S7j0+Ciyazqy17jeMe7quiEpHnw6F;P|y15huBt<;$r0m6$oweRnTPnDlP
z4c(o2MdS}wAkX##|HLCKC0TeR1zAF7Cg}N_@bCZ(fHg%~9?lDVbU|V9S{}(#hYB~y
zp*h{$+&)@cl`C^}K&y%5F{wNfhXpN}X2!>bI5`QxbH*t7B05xj#f=(>K7Ir<9#guR
z#wRAgh}gUy70F+mIN@hq0rrfsURt^)CcEqF1)$RN=g-vibc8M;!8TZ<0O+(qZh5pe
z#yae*$KJt#h@4zZP*6cKQV@R=(RB(*i1!)>eorx*`IWwYcoG3YD-_k(o|ABoku7|~
zCAYP89)#y}b2P|BsFWKu{u*%9g+A2a?Eu>h=Cl6bC4};Ww}YAaLQ8A&2V)q&AE7xv
z_CUh;K8O#2P6$kTW6lcBeR%i9a{#v@v*ysZjoChD`Aqi%6wv1W{{8|20${(^gPUy+
z+jFwCjnsarrY6sYBcozv#p1{G2_*Fq5qK%;qg&vITqh=RL`1t1S#qn$(g~ZR0005l
zbz$MU?ry~t<<UrRNVTpx8OX)A*xj&!ir2J(!b<vM6K<p0D%S7y)dwFxs4fGW2UAri
znytg%Mlz++sl9v&xw(?iZ4ORf`QuPS%VnzM?hXVv-j<e(<AfKF!kYfjKp^npEcg&<
zSa=?VOKxQ)A3OUU38S_}iw=>MTXDrQoq>&yj$#nEfKn8wCjB7l3Lxr6ct}-NuJqu;
zo(^O={_fUwCMQ$O9pXVb5E?-#4hn!`L|lA!eEfTUJ{H@3w8LGJu(1g=Il*2&FJD+E
zfv<*r+H+6K9GV`(KaIGC=kudmKzVBJWwnAbocM0bzIbb8m0>bcn>mL4fw)Vt&`k_L
z!61JGQMDS!w%OewG?rY0VBdgYF-X&wfFZ}^_K+t-nrZ{dNN8wiNeRdO^J0)uAhJ0G
z@6XPz{3Z7b-`IF(W@c8LKD;03ARqf|bP3;=BN`Lb@%TA8QOC!1b#*Lh_y_d&mKuNA
zx!{pMfm;1C`tNt6R7j_v$D3!u!V`0IEg+#06-|XjU;f1oJd$T1s)m=JSjtEw8h(t5
z5)u|37#L8J!~m4hzkiF=$1%Zt;9{2qq_{y>A;hVvD}yw-`HJd)=s^Pin^+J)qpi)&
zV7x@~L`#n9%Gl$lk-VLF)wsbJ#+!T|o}OTm9I(rM4_|=6jp$~FQBeg$a5*V8Exbr_
zY*kgrR5d8}G(M}!mWn(*!a<dg1#Kab$Qm_k7nfnBqW^>>7*&bX7IDNp6{>`E3~<Zr
z@T(I)e<rZ-27x6IPyqrvtmh9Ccs=ey!d)p`D<wJdoq?81(hJAMg}G+ZAh#Yq*`49z
z<MaF0(kNU7_vU;gNfraDeVm`fLZ+g@z6F_>5kkknAVO$f0sa$B=t{h63b=kAg9@W*
zY&Fzz3EzM9G4ZZ*t=<FERVt<XAVzoh@gXNARcRU!2PdOQ?#8Kr^5q>wq^D=n>curq
zvoV^dgd#IGEx3c0vp44IY_|(z>OAJu&t1o^RUk|d&QDffB|Pz#_;^x-!DjP~0Ekqc
z@C`xzmVUVbpGC*l_;_t~^_`umaywP>JRn9oO#4`-6}q(NJkZ|{QooVEYOyjbELMP6
zu4#<(y7)aX&<46YAUX!sA)qjFcXtP2a^VDEorxeoCg#eV<rCa+6N*pX9VIu8WZ~u}
zn%@V4{lsA@;NTdf-p54FquY|rcb!+I44yxKuBsXtS)8A2#=)z|+|F}X&Bg2oz7PqM
z_wYDM<uL@QSeTb20U23ZN(z|otSDK1w=O`H29P<XcAnhOh>=U=1V`a9?dVjuA+A@O
z8prwb>XSx*O@aE$R*TUv0J%LkbC-_!Lnxd4jyIXYeVz&mhMZUwj)HMHOFL7h)T7Z%
zD+m=popG7DpB>z3779`9sC{NII*0=5dRKnad2n>J0!6Mz#Gcz8?fry6AkkaZ|FxVi
z^pvc5mc%j$dR)ceK6M_uY9apTBA%W~9puL(>wmPpx;(zsg?4;zeX`+MoA~ANp{n9U
zZ(K&xbC$4_l^$qQWxt!@vZ(FO=Qk{>+L^?znXao}y)&nOFHFqKc&^E@JlDMPxewXH
z^`zpZhEN#2%0Rw%y&NR;z2Nn@xT1uT!?<b3`dSM`m)8$2`dDm<P2Y$5nNk(`yR3&0
zPb2LF_yA|XHn!Oh73PRL_pch&Jab4PnEz7OE=oT5NHj1Jl`Twd-Kb3`=JDe**Llu|
zzgI!jgnRx^49%#lAlCE}0c2bOn`^Oa)r#eFPuO^G2O^21*<-%)drb=^r@*6{hEDuh
z+B|le->{_9`_W!qn<Ho+R#X#fKNhxcInNWeWy9f!XZSlJKAsaWwqUOjK4M}sMTH9!
z|0P!%AbHDgpIqHAv`t~A%W!ox86(&;lXLxuyn%JX#J{o64&N}zXB^a9D3D6lh{pbu
zCjSdk+V3hip&=RG?*zGOWk*hgmf?9CS`IWO;`4Ov%^us|!dxDshyS^#N8g<Le+qk+
z?Q*_$)KyU8U7(=h{3an|Z*vZ4>6RL-uV3j87=9nPh_`6e^qops7IZpl%%tjgLQdA*
zTP;^^om;+Z_FwvwZ$UOE2{b%n&JSd&RxJ$fzwxsf`q<)#Yj8A_>AC0UK#B45O+3zJ
zd`7uC*$2Sago|w9%gmw%Mr-|DwrP!}ekLnv=>MS0$(C?Kw-UR?@X5`=W)c>C*7Ei7
z(8Cs_T0`fa=nr#E>`$*33y3eZ`ix70i~C=18J39gF1TBk)QrY?o@q{M3p^4D7<!*q
zWEJ!?Fq7x>ht%xf%``$QY9Kv++uvL}K#}#mPUg_{E2^^#;<(XJ??Vc|S>!*PoSl@e
zX%)Io?q#}3^qg^?hirFe3fMix-nB-2|0;q&Abf@&OGD;J1$?KAcLu$7%Q?jO8N_W7
zks`kGZ*r#({sw8z1*$Ah_V=xomTfEvH!Vb4+FaUyjJb5&i7PKeb8tU+yXDfh1&vs<
zOKyvt7C?B)+aao03`M-E_H$(3X2VZok0aj9=8~#QKI=7{zPZ|Et{oT|bfWKZ)L7H3
zI`~iIeIC5n`9Z(Ur__v7pZ7<a|24W_cZUx&F4vDZ;+?#5jnh8p1VHw`lb*M8jf`CL
zI~T2@RuL~BOp`@YE$Yyw+m&&Ce>cCP&r$JLba%ojbvpjBti@GhZAL?KU+949X`ds0
zm)NVchVItH9_j-_wxVT2N!}`y$TytHKe!z!56wCOJ-#{QZ++k(BUfj&d0u1^Hm!C2
zu;=-nZY}xyfDgWXv&Q8(hJ%lVvJVT*UmMIu3Jc%dIIo4&%}@>>on30IOvaW_xpY|U
z9xIw>Q+$=PMiy&!Q;TNlj=i?(M(7p_G_Z<nK*S}Tjs)9Ituq=umU*sNY`%Ukt@_*2
zWY7J~Wu_7?1W|1m`BTJVqdq_N+OL%GWmoTE2R)9(4qwKHwN5K++k=Fb$`2NLhkxjZ
zE0Z&a7xeYpFSjdeZ<|_VT26`ZXNKmB?bg<ApTC1wTm4*q*Trn*XAEiW3IBP`@uEc(
zDnvb}5)_x@<$yCqIMQ_bq)lGt3tFG5osW|=sAlU>;=3IBmB>4zui3}sx0HvQy8gyD
zf^tLBr@Y_EmJ{tic$|K-o`HPP*n5{2_s?(h6ZP0rSME;fc{I;6uT}GKgb#yVX2*x(
zf<Om^#Cgma!|uH54Ai3&QH~#Hdd-SI8M(A5<CHDZvGFD^p6Iq(4~NwKHaj;+%lA)r
z0QtTt{Xs?7&1XI<Gm>b%pZ|={MVTu65m9@vdvZA!v_YabZ-TTIOV=LLeldG}P$hoW
zWZeDy+#-*A4>`>Bu*p7L^d0grM|3SngZ~TbYFsY=YYpEcR;KOmLf&WBQjmL{PzhOD
z0fbgypLS=QvETNW9hno`XRadIi!$wcn{j2dkifHQRO&~)`xjSX7`I2s)eBjq{Cx0;
z3f;d|5hMC~lslEJ)<-q5+N;OmOD1ymlMb=0+qY<KZRCj0EN!bVLG)7Nw&Po0Wwn63
z{eSkM5y$kcyR@0FU#FD%J1sonDg62uG2qh*^SJuD9`Tpbq5-$}TE?NEOo|JtQk%RM
z_19CIh9l*dLlxcS+4hi+3~KL_zxTUd?Vy(kubtxgP*nlh_I6LhKYL5j4rM-5If#G|
z{2%s*G{;-a_T(5s*`F%2`7bDJbWLWJ#u9_7+Mud~eP|d<D+I~z7mXnm8~U)emRZ2+
zOQyW1%2<;H#;P;dxFO70!^|9TzqR3&mEjo~)<&{O`UTxgx&uo)8)sX`H*b*1ugHmC
zWMDok#(Tol>f0I{9-eA}C#_;toD*Bxkry8HobTHZs_yA{c;utbS3$fy^{>@Us4uYF
zZ5@ar8?!|;U!pJ0U#X6a4)*aB<8-Pyx8}sQBxZMHSeRN9!)#uKwd7UBWg|Iq9{WC=
zGR`|?H+bJT-S|Gxest>J`O`yZI-c=RXOfqE`%Z&Hm5+ZLa<I+QW*}zgKbs(Mx0<>&
z*!_(&wtFsT#)Q8!79sH0|GmoEdt;q%yLm5ddDb9t<BiKV?0CVT(hrwkQ4SgD=PWxi
z9gu_31D=CF4Rd+ZHZ>?R0h`^uKa`0{e}67f*rcb{GGzNmUi79NguL)gtt%B7>**ha
z!+)P@sEb~h)NDKNMy*{Bosf|1n-vh#(H`YXFJ2`d4|uSck_<WRIq~v2SA1QR+1KQC
zcB&lQH_cyZt1A+p{+Z<E*ow!wNU810ALR`VQg@86wgzQ9!Qo=Oa~2bsc4m$i|Kx6|
zah7En&z(smT~3lB{a@G2dEdz5bwOf><F}@~n&{OW32EXR{Y;G{h$dQg=g}<w5BM(^
z?vJOn&zfrM8a<ApdJS18EbnSKs=i-#=pIS_V^0?|D2Z(LkFcSpD8dU8s;z0LiwLrp
zvb7bH66P_X(-2l&R`&Jro?DHxiD>?$DD`7vNbVnd7ka+psg$siOk^;6Crxqz<;HVv
zSI)-bt_wNyroVFcP9Z-?PrAKlmic6hwC=g;@{jTPUKUp7Q^%O<%A(3F%73sYCozNj
za=$ja6qOx~|NG1$;%3ED-F(F^LYM`-In#$eqx^<E=3PfG3IKC$U`-43hPS^PYG6aU
zZ`j7Xcqw4ho|?St-#1UoL#+4qh4y30%rAPw7r9gi2W*bz0z;aLBXsGnjAFlF8wKA*
z2MtTlL`5m*eLw++ry3`KDSZACwc3-X6q&F@3Bq<14GS}K!Z0xqL<4R=TQ-0e>9w-4
z!3qLXiyXBrQII=;f;;lbL(*mbNb)Cf@xR)NeG`E;fQBaH^6Zc$YlW_T8liY}d_0mR
zg&%}a+j7Y*2WN!;p)H(HefxH;RIjAj&G>25J8NsezT4Z`F=n}RK>m54w_j~XBn(R_
ztE%RRyF+if8sC9`+OVpTK32-V07j1pK=kj0f~}a@zV8D#1O3;p-ybfK^4OUYT$y!A
zz56M@ySuwe;{t$vAisDl7x;K7FDr|_)vB12iz|eq#p4f=B$p2hn5cg^4U`y*GV5?f
zX6d`Wo+OJ83m+fpVVaRI6fXc2fbQM9hZYCv_y5y<!2K}J<(OC<A`n*p-GKk8gz-W}
KOSwwX68b;A-o3N{

literal 0
HcmV?d00001

diff --git a/references.tex b/references.tex
index 650bc39..c98a3d5 100644
--- a/references.tex
+++ b/references.tex
@@ -277,6 +277,9 @@ Cépaduès Ed. Toulouse, p. 195-208, ISBN: 978.2.36493.577.8.
   didactique des phénomènes d’ostension et de contradiction, Thèse de
   doctorat de l’Université de Rennes 1.
 
+\bibitem{Ritschard} Ritschard G., Marcellin S., Zighed D.A. (2009), Arbre de décision pour données déséquilibrées : sur la complémentarité de l’intensité d’implication et de l’entropie décentrée, Une méthode d'analyse de données pour la recherche de causalités, sous la direction de Régis Gras, réd, invités R. Gras, J.C. Régnier, F. Guillet, Cépaduès Ed. Toulouse p.207-219
+
+  
 \bibitem{Ndonga}   Ndong L. (2008) La place des concepts de la didactique des
    sciences dans la formation des professeurs de lycée et collège de
    Sciences de la Vie et de la Terre en France et au Gabon. Thèse
-- 
2.39.5